3.5 ALG Notes
Date:___________________________
Objectives: Writing and Solving Compound Inequalities containing AND & OR
Compound Inequalities:
Writing a Compound Inequality with AND
x ≥ −5 AND x ≤ 7
1. a. Write a compound inequality where all numbers are at LEAST -2 and AT MOST 4.
1. b. Write compound inequality of Today’s temperatures will be above 32 degrees, but not as high as 40 degrees.
Solving Compound Inequalities Containing AND
What does this mean?
Ex 1: Solve −4 < r − 5 ≤ −1 and Graph solution.
Practice:
Solve each Compound Inequality and Graph Solution.
1. −6 ≤ 3x < 15
2. −3 < 2x − 1 < 7
Application Problem:
3.5 ALG Notes Continued…
Date:___________________________
Writing a Compound Inequality with OR
x < −3 OR x > 7
1. a. Write a compound inequality where real numbers are less than 0 OR greater than 3.
1. b. Write compound inequality where discounted tickets are available to children under 7 OR adults older than
65.
Solving Compound Inequalities Containing OR
What does this mean?
Ex 1: Solve 4v + 3 < −5 OR −2v + 7 < 7 and Graph solution.
Practice:
Solve each Compound Inequality and Graph Solution.
1. −2x + 7 > 3 OR 3x − 4 ≥ 5
2. 3x + 2 < −7 OR −4x + 5 ≤ 1
Application Problem: