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Solution Quiz 1 B

Solution Quiz 1 B - Since |2 − x | gives the distance...

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

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Solve the inequality |2 − 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 |2 − x | gives the distance from x to 2, the question says that the distance from x to 2 must be less than 6. So, find all numbers x whose distance from 2 is less than 6. We indicate the set of all numbers within a distance 6 of 2 in the figure below. 6 6 2 − 6 = −4 2 2 + 6 = 8 You can now read the solution directly from the figure: −4 < x < 8, or in interval notation (−4, 8). Correct answer is: ( − 4, 8)...
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