Solving and Graphing Inequalities Honors Advanced Algebra

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

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

𝑥 2 ≥𝑥+6 Example 1

𝑥 3 + 𝑥 2 <8𝑥+12 Example 2

4 𝑥−1 ≤2 Example 3

𝑥+5 −1≥4 Example 4

𝑥+5 −1≤4 Example 5

𝑥−3 ≥3 Example 6

𝑥−3 <2𝑥+2 Example 7

P. 220, #33-35, 44-46 P. 240-241, #23-25, 42-44, 47-49 Homework