1. Solving and Graphing Inequalities
Honors Advanced Algebra

2. Warm-up 𝑥 2 =𝑥+6 𝑥 3 + 𝑥 2 =8𝑥+12 4 𝑥−1 =2 𝑥+5 −1=4
Solve the following equations.
𝑥 2 =𝑥+6
𝑥 3 + 𝑥 2 =8𝑥+12
4 𝑥−1 =2
𝑥+5 −1=4
Warm-up

3. To solve inequalities, solve like an equation
To solve inequalities, solve like an equation. If you multiply or divide by a negative, switch the direction of the sign. Test values between each of the end points to figure out the solution set.
Inequalities

4. 𝑥 2 ≥𝑥+6
Example 1

5. 𝑥 3 + 𝑥 2 <8𝑥+12
Example 2

6. 4 𝑥−1 ≤2
Example 3

7. 𝑥+5 −1≥4
Example 4

8. 𝑥+5 −1≤4
Example 5

9. 𝑥−3 ≥3
Example 6

10. 𝑥−3 <2𝑥+2
Example 7

11. P. 220, #33-35, 44-46
P , #23-25, 42-44, 47-49
Homework