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

Question

minus, 4, is greater than, x, minus, 9
−4>
x−9

Answer 1

To solve for x, we can add 9 to both sides of the inequality:

x - 9 < -4 + 9
x - 9 < 5

Next, we can add 9 to both sides of the new inequality:

x < 5 + 9
x < 14

Therefore, the solution to the inequality is x < 14. Graphing this on the number line:

<-------------------o------------------->
-5 0 5 10 14 15

The circle at 14 is not filled in because x is less than 14, not less than or equal to 14.