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In an inequality, when both sides are multiplied (or divided) by a NEGATIVE number:
ABoth sides become zero
BThe inequality becomes an equation
CThe inequality remains unchanged
DThe sign of inequality is REVERSED (< becomes >, ≤ becomes ≥, etc.)
Answer & Solution
Correct answer: D. The sign of inequality is REVERSED (< becomes >, ≤ becomes ≥, etc.)
Rule 2 for inequalities: multiplying/dividing by a NEGATIVE number flips the inequality sign. E.g. 3 > 2 but -3 < -2; -8 < -7 but (-8)(-2) = 16 > 14 = (-7)(-2).
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