Lesson 3-6Compound Inequalities

Part 2

August 25, 2014

IMPORTANT

•PLEASE CONTINUE THESE NOTES WITH YOUR NOTES FROM FRIDAY, AUGUST 22, 2014

Daily Learning Target

• I will solve and graph inequalities containing the word and.• I will solve and graph inequalities

containing the word or.

5 Minute Review

1) All real numbers that are between -5 and 7

2) 3 < 4p – 5 ≤ 153) 15 ≤ ≤ 194) 4d + 5 ≥ 13 or 7d – 2 < 125) 5y + 7 ≤ -3 or 3y – 2 ≥ 13

Example 4 – writing and solving a compound inequality

To earn a B in your Algebra 1 class, you must achieve an unrounded test average between 84 and 86, inclusive. You scored 90, 83, and 70 on the first three tests. What possible scores can you earn on the fourth and final test to earn a B in the course?

Know Need Plan

Answer: 93 ≤ x ≤ 101

Example 5 – Using Interval Notation

x ≥ 2 [2 , ∞)

x < 2 (- ∞, 2)

1 < x ≤ 5 (1, 5]

x < -3 or x ≥ 4 (-∞, 3) or [4, ∞)

Example 5 cont.

Solve each inequality. Write each set in interval notation. 1) 7 < x + 6 ≤ 12

2) f + 14 < 9 or -9f ≤ -45

Homework

Workbook page 99-100

Problems 7, 12, 13, 15, 21, 22, 24, 25, 27, 29, 32