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Which inequality is equivalent to the statement below? The opposite of a is between −5 and −2.
a
−5 < −a < −2
b
5 < −z < 2
c
−5 < a < −2
d
5 < a < 2
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GPT-5 mini
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Answer: a) −5 < −a < −2.
Reason: "The opposite of a" is −a, so the phrase translates directly to −5 < −a < −2. (If you solve for a, multiply by −1 and reverse the inequalities to get 2 < a < 5.)
Reason: "The opposite of a" is −a, so the phrase translates directly to −5 < −a < −2. (If you solve for a, multiply by −1 and reverse the inequalities to get 2 < a < 5.)
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