Solve for xx and graph the solution on the number line below.

Question

minus, 32, is less than, minus, 4, x
−32<
−4x

Answer 1

To solve for x, we must isolate x by dividing both sides of the inequality by -4 (remember to flip the inequality sign when dividing by a negative number):

-32 < -4x
Divide by -4:
8 > x

Therefore, x is greater than 8.

Now we can graph the solution on a number line. Since x is greater than 8, we will plot an open circle at 8 and shade to the right to show all values greater than 8.

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This represents the solution x > 8 on the number line.