Solve one-step inequalities and represent solutions on a number line.
Reverse the inequality when dividing or multiplying by a negative
Problem
Solve \(-3x~<~12\).
Big Picture
What this problem is really about
Isolating x requires dividing both sides by negative three. Negative scaling reverses order, so reverse the inequality symbol at the same moment you divide and keep the negative sign in the boundary calculation. Then test one value on each side of the boundary in the original inequality to verify which side actually works.
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