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Question

# Some people are guessing the number of jelly beans in a jar. Each person who guesses within 15 of the correct number will win a prize. The correct number of jelly beans is 389. What values of n represent the numbers that will win a prize? F. n = 389 or n = 404, G. n = 389 and n = 404, H. 389 ≤ n ≤ 404, I. 374 ≤ n ≤ 404

Solution

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We solve an $\textbf{absolute value inequality}$ by:

$\bullet$ Isolating the absolute value expression,

$\bullet$ Writing equivalent linear inequalities using that $|x| can be rewritten as $-a and $|x|>a$ can be rewritten as $x<-a$ or $x>a$.

$\bullet$ Solve each inequality.

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