1. PROPERTIES QUIZ ON THURSDAY!!!

2. Solving Linear Inequalities
Section 1.6:
Solving Linear Inequalities

3. Linear inequality – in one variable can be written in one of the following forms where a and b are real numbers and a ≠ 0. ax + b < 0 ax + b > 0

4. A solution of an inequality in one variable is a value that, when substituted for the variable, results in a true statement. The graph of an inequality in one variable consists of all points on a number line that represent solutions.

5. Compound inequality – consists of two simple inequalities joined by “and” or “or.” To solve a linear inequality in one variable, you isolate the variable by using transformations that produce equivalent inequalities, which are inequalities that have the same solutions as the original inequality.

6. Example 1:
Graph the following inequalities.
x > -3
x < 0
-2 < x < 3
x < -1 or x > 1

7. Example 2: You have budgeted $66 a month to spend on yoga classes
Example 2: You have budgeted $66 a month to spend on yoga classes. Your yoga studio charges $22 per month membership fee, plus $5.50 per class. Describe the possible number of classes you can attend each month.

8. Example 3:
Solve the following inequalities.
4x + 3 < 6x – 5
-10 < 3x + 5 < 8
-2x – 1 < -7 or 4x + 3 < 7

9. HOMEWORK
pg. 45; 12 – 46 even