Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5 )
2 answers:
Start by distributing on both sides of this inequality.
This gives you 24 - 12x < 6x - 30.
Put your x's together on the left by subtracting 6x from both sides.
This gives you 24 - 18x < -30.
Now subtract 24 from both sides to get -18x < -54.
Now divide both sides by -18 and <em>x > 3</em>.
Remember to switch the direction of the inequality sign
when you divide both sides by a negative number.
I have also graphed it below on the number line.
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