Solution Quiz 1 A

# Solution Quiz 1 A - Since |5 − x | gives the distance from x to 5 the question says that the distance from x to 5 must be less than 6 So find all

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Version A Quiz 1 Solutions 1. Give your answer in interval notation. Solve the inequality x 2 − 16 ( x + 6) 2 > 0. ____ ____ ____ Solution: ( x − 4)( x + 4) ( x + 6) 2 > 0 ( x − 4) ( x + 4) ( x + 6) 2 ( x − 4)( x + 4) ( x + 6) 2 x < −6 or −6 < x < −4 or x > 4 (− , −6) (−6, −4) (4, ) Correct answer is: ( − , − 6) ( − 6, − 4) (4, ) 2.

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Solve the inequality |5 − x | < 6. Give your final answer in interval notation. Solution: Before you start trying to solve this, take a few moments to read what it says.
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Unformatted text preview: Since |5 − x | gives the distance from x to 5, the question says that the distance from x to 5 must be less than 6. So, find all numbers x whose distance from 5 is less than 6. We indicate the set of all numbers within a distance 6 of 5 in the figure below. 6 6 5 − 6 = −1 5 5 + 6 = 11 You can now read the solution directly from the figure: −1 < x < 11, or in interval notation (−1, 11). Correct answer is: ( − 1, 11)...
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## This note was uploaded on 05/06/2008 for the course MATH 201 taught by Professor Chuckrow during the Spring '08 term at CUNY City.

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Solution Quiz 1 A - Since |5 − x | gives the distance from x to 5 the question says that the distance from x to 5 must be less than 6 So find all

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