Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0

Name: Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0 < x < 1 A)9 B)2x - 1 C)2x + 1 D)2x - 9 E)2x + 9
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Question

Write the expression without absolute value symbols. |x - 4| + |x - 5|, given 0 < x < 1
A)9
B)2x - 1
C)2x + 1
D)2x - 9​
E)2x + 9

Quizplus · Accepted Answer

Since 0 < x < 1, we know that x-4 is negative and x-5 is even more negative. Therefore, both absolute values become -(x-4) and -(x-5), resulting in the simplified expression of -(2x-9), which is equivalent to 9-2x. Therefore, the answer is D.

Write the Expression Without Absolute Value Symbols