A Problem Solving Approach to Mathematics for Elementary School Teachers (13th Edition)

Chapter 2

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Person N is a 30 year old or younger male secret ... more

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      Biconditional statement is true only if ... more

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For all natural numbers , .For all natural numbers... more

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or .With every seat filled, the Supreme Court of ... more

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Person A is a 30-year old or younger male teacher... more

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      Yes, the statement is the negation of . ; ... more

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If a number is not a multiple of 4, then it is not... more

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      ;  A negation is a statement that completely... more

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Person M is a female with dark brown hair, who ... more

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An implication is a compound statement formed by ... more

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These are not statements because their truth ... more

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To write the negation of the given type of ... more

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When a comma or a semicolon is used in an email ... more

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The inverse and the contrapositive are true ... more

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; Let be the statement, "Person P passes the ... more

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An implication is a compound statement, which ... more

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The statement is incorrect because the truth value... more

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It is not mandatory to know if a particular ... more

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The statement “No poodles are dogs” is not the ... more

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Construct a truth table for , and find that the ... more

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An argument can be valid even if the hypothesis ... more

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Person R would have lied if he did not allow any ... more

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If Statement C is true, then all the three ... more

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Sets   and   contain exactly the same elements. ; ... more

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; The number of one-to-one correspondences ... more

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No greatest natural number exists because for ... more

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As the given number is non-terminating and non-... more

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If the set of the numbers starts from 1 and goes ... more

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Both the first and the second sets contain 5 ... more

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  ; Two sets are equal when they have exactly the ... more

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The   is the set of all college graduates who don’... more

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; The total number of subsets of a set is 1 more ... more

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  ; Express the roaster form of set , set , and ... more

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; In part (a), an element, that is, 0 and an ... more

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; The first person is selected out of 7 available... more

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The set of natural numbers and the set of whole ... more

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The two given sets are equivalent so they will ... more

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; Make a rectangle to represent the universal set... more

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; Draw a rectangle to represent Club B that will ... more

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All persons who are part of Club B are the ... more

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Sets having the same cardinal number, that is, the... more

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; Rewrite the set using roster method. ; ... more

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is the set of all women who are not former ... more

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Sets will be equal. ; Consider two sets to be set... more

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; The number of subsets of a set is given by , ... more

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, , ; Write set , set , and set in roster form... more

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; The number of one-to-one correspondences ... more

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Every natural number   can be paired with the ... more

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; The members of the HR are represented by the ... more

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Athletes in the   race are from Swim Team M. ; Two... more

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; The set of voters affiliated to Party R are ... more

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and can not be equal. will be a subset of . can ... more

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A set is well defined if there is a clear criteria... more

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In an empty set, there is no element that can be ... more

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It can be observed that   is an element of the set... more

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To show that , find at least one element of set   ... more

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Set   is called a subset of set   if all the ... more

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The symbol “ ” is used to represent “belongs to” ... more

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Equal sets have exactly the same elements, whereas... more

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; Out of the 4 coins lying on the table, some, ... more

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8The set has 8 elements because it has 256 subsets... more

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The word “finite” is used in the definition “less ... more

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If   and   are finite sets, then set   has same ... more

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, because the shaded area represents set . ; The ... more

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Entire Proof Answer: Assume the given set has one-... more

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Set represents female individuals and set ... more

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Yes, because   implies that . ; If , it implies ... more

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Union of set   and set   is either set   or set... more

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Yes, one-to-one correspondence between two ... more

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Yes, because the number of subsets of a set with... more

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One of the possibilities for the similar ... more

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The statement is incorrect because 3 dots are also... more

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Both the students are right but in different ... more

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; Assume that the natural numbers are represented... more

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False; True; False; True; False ; The truth value ... more

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; The truth values of is opposite to the truth ... more

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; The number of distinct arrangements of   ... more

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Grouping is not important for union and ... more

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Yes. All the elements of set   are in set   ... more

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Let   be the universal set containing all people.... more

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; Let   represent the students who played game B... more

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; Let   represent the members who took Subject M ... more

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; Let   represent the samples with antigen A,  ... more

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No; The total number of students comes out to be ... more

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Team C versus Team G, Team B versus Team R, Team P... more

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; The number of men who survived is the ... more

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First family: Children H, A, DSecond family: ... more

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The first report: there are fewer number of people... more

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Region  : The set of eighth graders are in group B... more

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; The number of elements only in intersection of ... more

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; Write the sets using roster method.,  ,   and... more

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Individual E was right, since according to the ... more

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; The required Venn diagram will include three ... more

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; Let   represent the people having Subscription ... more

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; The number of women of Country C in the group ... more

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The complements of two sets are equal only if the ... more

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No;  and   contain different ordered pairs. ; ... more

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No; if and , then and .will not be equal to. ; ... more

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The given situation is true if all the 110 pupils ... more

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When the words "mathematical" and "biology" are ... more

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The pupil is incorrect because duplicate elements ... more

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The answer is incorrect because the Cartesian ... more

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The statement is incorrect because addition of 2 ... more

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Proving that a result is true for 10 cases is not ... more

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Person H is confused by the definition of the ... more

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It is the statement itself. ; The contrapositive ... more

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; Write 3 sets such that set   represents a pair ... more

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Set theory is important for future teachers ... more

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Statement: India is a country; Non statement: Open... more

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The first sentence means that no student secured ... more

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Converse: "If someone will read a tweet, then the ... more

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Entire Proof Answer: Create a truth table for the ... more

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Let   represent the statement "Person B passes the... more

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; A set is a proper subset of set if all ... more

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; Let be the set .A set is a subset of set if ... more

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; Find the number of people having only HS by ... more

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; As the fundamental counting principle states ... more

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The set includes all the elements of set   that ... more

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; The cardinal number of the cartesian product of... more

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; Draw a Venn-diagram to represent the number of ... more

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; There are 2 options from which Individual H can... more

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Yes, 3 females were invited in all the ... more

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