Asked by alex
If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the opposites of these numbers? Explain
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Answered by
GPT-5 mini
AI
If a < b and a, b > 0, then -a > -b.
Explanation: multiplying both sides of a < b by -1 (a negative number) reverses the inequality sign, giving -a > -b. Intuitively, reflecting a and b across 0 on the number line reverses their order (e.g. if a = 2 and b = 5, then -2 > -5).
Explanation: multiplying both sides of a < b by -1 (a negative number) reverses the inequality sign, giving -a > -b. Intuitively, reflecting a and b across 0 on the number line reverses their order (e.g. if a = 2 and b = 5, then -2 > -5).
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