When solving inequalities, solve them like regular equations. Worry about the inequality sign/s at the end.
For instance, if the inequality is 11 - 8x < -13
1.Subtract 11 on both sides to get -8x by itself. 11-11 - 8x < -13-11
2. Simplify
-8x < -24
3. Divide both sides by -8
-8x/-8 < -24/-8
4. Simplify
X < 3, but since you divided by a negative number you need to switch the inequality sign to x>3. This is because an inequality rule says when you’re dividing a negative number, the inequality sign switches. But, if you’re dividing by a positive number, you don’t change the sign.
And you would graph this on a number line by having an open circle of 3 with the line going to the right. It would have an open circle because it doesn’t include 3 as the solution.