Question

Solve for x and graph the solution on a number line below.
− 64 > 8x

Answer 1

To solve for x, we first need to isolate x on one side of the inequality.

Starting with the given inequality:
-64 > 8x

Divide both sides by 8 to isolate x:
-64/8 > x
-8 > x

So, x is less than -8.

Now, let's graph the solution on a number line. We will use an open circle to represent that x is not equal to -8:

<----------------o------------------------------------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Therefore, the solution for x is x < -8.