# Solving polynomial inequalities

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##### Intros
###### Lessons
1. What is an Inequality?
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##### Examples
###### Lessons
1. Solving Linear Inequalities
Solve:
1. $3x-10$ > $11$
2. $5-2x \leq 13$
Solve each inequality
i)
graphically
ii)
algebraically using test intervals.
1. $2x^2-x-15 \geq 0$
2. $-5x^2-10x+40$ > $0$
3. Solving Higher Degree Polynomial Inequalities:
Solve:
1. $23(x+5)(x-4)^3(x-3)^8(x+2)^{11} \geq 0$
2. $23(x+5)(x-4)^3(x-3)^8(x+2)^{11}$ < $0$
4. Factor First, then Solve Inequalities
Solve: $-2x^4+3x^3+18x^2-17x-30 \leq0$