Choose the correct solution graph for the inequality:

Question

−9x>54

Answer 1

In order to graph the inequality −9x > 54, we need to first isolate x.

Dividing both sides of the inequality by -9, we get:

x < -6

This inequality represents all values of x that are less than -6.

To graph this on a number line, we can represent -6 with an open circle (since -6 is not included in the solution) and shade all the numbers to the left of -6.

Therefore, the correct solution graph for the inequality −9x > 54 is:

<------o---------->
-∞ -6