Asked by alex
One student solved the inequality −4 >
x
−7
and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — they are both correct.
Start with −4 > x/−7. Multiply both sides by −7; because you multiply by a negative number you must reverse the inequality sign:
(−4)(−7) < x → 28 < x,
which is the same as x > 28.
Start with −4 > x/−7. Multiply both sides by −7; because you multiply by a negative number you must reverse the inequality sign:
(−4)(−7) < x → 28 < x,
which is the same as x > 28.
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