1. Section 5 Solving Inequalities
Chapter 1
Section 5
Solving Inequalities

2. Solving Inequalities State whether each inequality is true or false.
ALGEBRA 2 LESSON 1-4
State whether each inequality is true or false.
1. 5 < 12
2. 5 < –12
–12
> –
< –
< –
> –
Solve each equation.
7. 3x + 3 = 2x – 3
8. 5x = 9(x – 8) + 12

3. Inequalities The solutions include more than one number
Ex: 2 < x ;values that x could be include 3, 7, 45…

4. Inequalities
All of the rules for solving equations apply to inequalities, with one added:
If you multiply or divide by a NEGATIVE you must FLIP the sign. (< becomes > and > becomes <)

5. Inequalities When graphing on a number line: Open dot for < or >
Closed (solid) dot for ≤ or ≥
The shading should be easy to see (a slightly elevated line is ok) --- see examples

6. Solving Inequalities Solve –2x < 3(x – 5). Graph the solution.
ALGEBRA 2 LESSON 1-4
Solve –2x < 3(x – 5). Graph the solution.

7. Try These Problems Solve each inequality. Graph the solution.
3x – 6 < 27
3x < x < 11
12 ≥ 2(3n + 1) + 22
12 ≥ 6n ≥ 6n ≥ 6n -2 ≥ n

8. Solve 7x ≥ 7(2 + x). Graph the solution.

9. Try These Problems Solve. Graph the solution. 2x < 2(x + 1) + 3
2x < 2x x < 2x < 5 All Real Numbers
4(x – 3) + 7 ≥ 4x + 1
4x – ≥ 4x x - 5 ≥ 4x ≥ 1 No Solution

10. Assignment:
Skills Practice WS