CH1 - Chapter 1: Speaking Mathematically Section 1.1 6. a....

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Chapter 1: Speaking Mathematically Section 1.1 6. a . s is negative b . negative; the cube root of s is negative ( Or : 3 s is negative) c . is negative; 3 s is negative ( Or : the cube root of s is negative) 9. a . have at most two real solutions b . has at most two real solutions c . has at most two real solutions d . is a quadratic equation; has at most two real solutions e . E has at most two real solutions Section 1.2 6. T 2 and T - 3 each have two elements, and T 0 and T 1 each have one element. Justification : T 2 = { 2 , 2 2 } = { 2 , 4 } , T - 3 = {- 3 , ( - 3) 2 } = {- 3 , 9 } , T 1 = { 1 , 1 2 } = { 1 , 1 } = { 1 } , and T 0 = { 0 , 0 2 } = { 0 , 0 } = { 0 } . 9. c . No: The only elements in { 1 , 2 } are 1 and 2 , and { 2 } is not equal to either of these. d . Yes: { 3 } is one of the elements listed in { 1 , { 2 } , { 3 }} . e . Yes: { 1 } is the set whose only element is 1. g . Yes: The only element in { 1 } is 1, and 1 is an element in { 1 , 2 } . h
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This note was uploaded on 05/10/2011 for the course MATH 325K taught by Professor Shirley during the Spring '11 term at University of Texas at Austin.

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CH1 - Chapter 1: Speaking Mathematically Section 1.1 6. a....

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