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Quiz1solutions

# Quiz1solutions - MAC1105 Quiz#1 In the top-right corner of...

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Unformatted text preview: MAC1105: Quiz #1 June 29, 2010 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. Recall that integers, N denotes the natural numbers, W the whole numbers, Z the Q the rational numbers, and R the real numbers. (a) Find Z N. RQ. Since every natural number is also an integer, the inter- section is just (b) Find N, the natural numbers. Since every rational number is also a real number, taking the union adds nothing new, so the answer is (c) True or false: R, the natural numbers. WN is not true since W contains 0, but W N Z Q R. N does not. False. 2. Describe the phrase all real numbers greater than 0 but no more than 6.5 using: (a) Set-builder notation. (b) Interval notation. {x 0 < x 6.5} (0, 6.5] 3. Use the given property to rewrite the following expressions with equivalent forms: (a) Commutative property of addition: xy + 5z = 5z + xy 5(ab) = (5a)b, though some (b) Associative property of multiplication: other answers are also correct. 4. True or false: Exams 1,2, and 3 are from 7-8:30 PM, and the nal is from 7-9 PM. True. 1 ...
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