1. Bell Ringer
Solve for x:
2(𝑥−3) 3 = 𝑥 6

2. Solving Linear Inequalities
8/31/2017

3. Solving linear inequalities in one variable
Multiply on both side by the least common denominator (LCD) to clear the inequality of fractions if they occur
Use the distributive property to remove any parentheses if they occur
Simplify each side of the inequality by combining like terms
Write inequality with variable terms on one side and all numbers on the other side
Get the variable alone

4. Most Important Rule
When we multiply or divide by a negative the inequality symbol changes direction!!!!!!!!

5. Before we start… How do we graph an inequality?
Use a number line to graph inequalities
Graph:
𝑥≥6
𝑥<−3

6. Example 1
Solve and graph the inequality 𝑥+4≤−10

7. Example 2
Solve and graph the inequality −5𝑥+7<2(𝑥−3)

8. Example 3
Solve and graph the inequality 2 𝑥−3 −5≤3 𝑥+2 −18

9. Example 4 Compound Inequality
Solve and graph the inequality
3≤ 3𝑥 2 +4≤5

10. Closing Task
Write 3 things that are still confusing you about Linear Inequalities
Write 2thing about linear inequalities that you understand
Write 1 question about linear inequalities