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when solving, do i need to flip the inequality sign? -3x ≥ 12

Question

when solving, do i need to flip the inequality sign? -3x ≥ 12

Explanation:

Step1: Recall inequality rule

When dividing/multiplying an inequality by a negative number, the inequality sign flips.

Step2: Analyze the given inequality

The inequality is \(-3x \geq 12\). To solve for \(x\), we divide both sides by \(-3\) (a negative number).

Step3: Determine sign flip need

Since we divide by \(-3\) (negative), we must flip the inequality sign. So the answer is Yes.

Answer:

Yes