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Fill in the correct symbol: the absolute value of -5, compared with the opposite of the absolute value of -5.
A|-5| < -|-5|
B|-5| = -|-5|
C|-5| > -|-5|
D|-5| < |-5|
Answer & Solution
Correct answer: C. |-5| > -|-5|
1. Simplify the absolute value of -5 first: it equals 5.
2. Simplify the opposite of the absolute value of -5: the absolute value is 5, so its opposite is -5.
3. Comparing 5 and -5, the positive value 5 is greater.
4. So the absolute value of -5 is greater than the opposite of the absolute value of -5.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.3 Add and Subtract Integers_
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