New SAT Math Workbook

A the prime factors of 15 the prime factors of 30 b

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Unformatted text preview: s with first term 3 and third term 147? 3. www.petersons.com Numbers and Operations, Algebra, and Functions 247 2. SETS (UNION, INTERSECTION, ELEMENTS) A set is simply a collection of elements; elements in a set are also referred to as the “members” of the set. An SAT problem involving sets might ask you to recognize either the union or the intersection of two (or more) sets of numbers. The union of two sets is the set of all members of either or both sets. For example, the union of the set of all negative integers and the set of all non-negative integers is the set of all integers. The intersection of two sets is the set of all common members – in other words, members of both sets. For example, the intersection of the set of integers less than 11 and the set of integers greater than 4 but less than 15 is the following set of six consecutive integers: {5,6,7,8,9,10}. On the new SAT, a problem involving either the union or intersection of sets might apply any of the following concepts: the real number line, integers, multiples, factors (including prime factors), divisibility, or counting. Example: Set A is the set of all positive multiples of 3, and set B is the set of all positive multiples of 6. What is the union and intersection of the two sets? Solution: The union of sets A and B is the set of all postitive multiples of 3. The intersection of sets A and B is the set of all postitive multiples of 6. www.petersons.com 248 Chapter 15 Exercise 2 Work out each problem. Note that question 2 is a grid-in question. For all other questions, circle the letter that appears before your answer. 1. Which of the following describes the union of the set of integers less than 20 and the set of integers greater than 10? (A) Integers 10 through 20 (B) All integers greater than 10 but less than 20 (C) All integers less than 10 and all integers greater than 20 (D) No integers (E) All integers Set A consists of the positive factors of 24, and set B consists of the positive factors of 18. The intersection o...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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