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HomeCBSE Class 11mathematicsLinear Inequalities — One Variable, Sign-flip Rule on Negative Multiplication, Solution Sets › Divide BOTH sides of -6x ≥ 24 by -3. Result:

Divide BOTH sides of -6x ≥ 24 by -3. Result:

A-2x ≥ 8
B2x ≤ -8 (sign FLIPS because divided by negative)
C2x ≥ -8
D2x = 8
Answer & Solution
Correct answer: B. 2x ≤ -8 (sign FLIPS because divided by negative)
Dividing both sides by -3 (a negative number) flips the inequality sign: -6x/(-3) = 2x, 24/(-3) = -8, with ≥ flipping to ≤. So 2x ≤ -8 → x ≤ -4.
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