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Problem Set I

# Problem Set I - DIAMLER L VADLAMURI WebWorK Set 01 Problem...

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DIAMLER L VADLAMURI WebWorK Set 01 Problem Set 01 covers lecture topics from chapter 1 in the book. 1. (1 pt) ¡b¿Note:¡/b¿ You only have TWO (2) tries for this question. This exercise focuses on operations with inequality and in- terval notations. Match the sets and the inequalities by placing the letter of the inequality next to each set listed below: 1. All x in the interval [ - 16 , 13 ) 2. x is greater than - 16 3. x is no more than 13 4. x is nonnegative 5. All x in the interval [ - 16 , 13 ] A. - 16 x 13 B. x 13 C. x 0 D. - 16 x < 13 E. - 16 < x 2. (1 pt) This exercise concerns the definition of absolute values. Evaluate the following expressions: |- 9 | = - 9 -|- 3 | = If 9 < x , then simplify: | 9 - x | = If y < - 3, then | y + 3 | y + 3 = 3. (1 pt) Evaluate: 1 8 ( - 2 - 2 / 3 2 ) = ¡b¿NOTE:¡/b¿ Your answer must be a number. It cannot be an algebraic expression. 4. (1 pt) Evaluate: 3 ( - 10 )( 5 - 11 - 2 ( 8 )) = ¡b¿Note:¡/b¿ Your answer must be a number. It cannot be an algebraic expression. 5. (1 pt) Using properties of real numbers, the expression ( 9 a )( 7 b + 4 c - 10 d ) can be written in the equivalent form K · ab + M · ac + N · ad .

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