# Solving and Graphing Inequalities

Taught by MrRutter
• Currently 4.0/5 Stars.
2933 views | 1 rating
Meets NCTM Standards:
Lesson Summary:

Solving and Graphing Inequalities is a beginner's guide to understanding linear inequalities and how to solve them. The lesson takes you step by step through the process of isolating letters and numbers on either side of the inequality sign. You will learn how to graph the inequalities on a number line, and how to interpret the results. The lesson also explains how to solve separate statements and graph them together in a logical manner.

Lesson Description:

Learn how to solve linear inequalities and graph them on a number line.

• How do you solve inequalities?
• How do you solve 4y - 3 < 5y + 2?
• How do you rewrite -5 < y so y is on the left side?
• How do you graph a linear inequality on a number line?
• How do you know if you should draw a closed dot or an open circle at a value on a number line?
• How do you solve 12 >= -0.3p?
• What happens when you multiply or divide an inequality by a negative number?
• How do you know which way to shade an inequality?
• Why do you flip an inequality sign when you multiply or divide by a negative number?
• How do you solve 10 <= 3y - 2 < 19?
• How do you solve a compound inequality?
• How do you graph a compound inequality on a number line?
• How do you graph 4 <= y < 7 on a number line?
• How do you solve the two inequalities x + 3 < 2 or -x >= -4?
• How do you graph two inequalities combined with or on a number line?
• How do you graph the solution set to x < -1 or x <= 4 on the same number line?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains each step in a few different example problems of solving an inequality and graphing the solution set on a number line. As the lesson moves on, the inequalities get a bit more complicated, but all steps are still explained and shown.