Solve for xx and graph the solution on the number line below.
minus, 10, x, is greater than, minus, 90
−10x>
−90
To solve for x, we need to isolate x by dividing both sides of the inequality by -10. Remember to flip the inequality sign when dividing by a negative number:
x < -90/-10
x < 9
So the solution for x is x < 9.
Now, let's graph this solution on the number line:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
<---o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o----o---
The open circle at 9 indicates that 9 is not included in the solution since the inequality is strictly less than. The line to the left of the circle shows all the values of x that are less than 9, as indicated by x < 9.