1. Solving Multi-step Inequalities
Module 3, Lesson 5
Online Algebra
Cami Craig

2. Inequalities and Equations
How are they the same?
What you do to one side you must do to the other side.
The steps to solving are the same.
How are they different?
When you multiply or divide each side by a negative number, you must change the order symbol.
There are an infinite number of solutions.

3. Solving Multi-step Inequalities Remember the steps are the same as in solving equations.
Solve and graph the following equation
9x + 2 = 20
Add -2 to both sides
9x =
9x = 18
Divide both sides by 9.
x = 2
Solve and graph the following inequality.
9x + 2 > 20
Add -2 to both sides
9x >
9x > 18
Divide both sides by 9.
x > 2

4. Solve Rewrite as an addition equation. Add -12 to both sides.
3. Multiply both sides by 4.
4. Divide both sides by -5. Don’t forget to switch the order symbol.

5. Solve 7(g + 8) < 3(g + 12)
Use the distributive property to get rid of parentheses.
7g + 7(8) < 3g + 3(12)
7g + 56 < 3g + 36
Get the variables on one side.
7g + -3g + 56 < 3g + -3g + 36
4g + 56 < 36
Get the variable by itself.
4g <
4g < -20
g < -5

6. Got it?????
Remember that solving inequalities is just like solving equations…
…except when multiplying or dividing both sides by a negative number.