UNIT 1: LINEAR EQUATIONS & INEQUALITIES – THE POETRY AND PROSE OF ALGEBRA

SEC 4: Compound Inequalities

Review: Quality Core Question

Ex 1: Quality Core Question

Compound Inequality

Consist of a pair of inequalities joined by and or or.

Examples: -1 < x and x < 3, or could be wrote as -1<

x < 3 x < -1 or x > 3

Ex 2: Compound Inequality Containing And

Graph and Check the solution of 3x – 1 > -28 and 2x + 7 < 19

Graph and Check the solution of -5 ≤ 2x – 1 < 3

Ex 3: Compound Inequality containing Or

Graph and Check the solution of 4x – 2 > 14 or 3x – 4 < - 13

Graph and Check the solution of 3x + 9 < - 3 or -2x + 1 < 5

Ex 4: Dirty Jobs

Between 15,000 yd3 and 16,000 yd3 of earth must be trucked away from a construction site. The trucks can remove 1000 yd3 per day, and 10,500 yd3 has already been removed. How many days are needed?

HOMEWORK

Pg 45 #12-21 solve, graph and check

Answers: on Pg 57B in textbook