solve for x and graph the solution on a number line
minus, 3, is less than, start fraction, x, divided by, minus, 3, end fraction
To solve the inequality:
-3 < x/3
We can multiply both sides by 3 to get rid of the fraction:
-3 * 3 < x
-9 < x
So x is greater than -9.
Now we can graph this solution on a number line. The solution will be all values greater than -9, so we will shade to the right of -9 on the number line. Indicate that the circle at -9 is not included by using an open circle.
-9 -----o-------------------->
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 ...
Therefore, x > -9 is the solution to the inequality.