1.7 Solving Inequalities

Warm-up (IN)

Learning Objective: to write, solve and graph compound and single variable inequalities.

1. Graph and label the points on the same number line.a. -1 b. 3.5 c. -9/4 d. 0

2. Graph each inequality on a separate number line.2 a. x 3 b. x

Notes

Ex 1 – Solve and graph the inequalities

938 a. d

128 d

2

3d

15592 b. yy

63 y

y 2FLIP THE INEQUALITY!!! (when mult or div by neg.)

Dr. Burger Video

Ex 2 – If tests are 60% of your grade and HW is 40% and your test average is 85, what HW average do you need to have to get an A in the class?

Final grade

= Test avg

(60%) + HW avg

(40%)

90 = 85 (0.6) + x (0.4)

90 = 51

+0.4x

39 = 0.4x

x = 97.5

Compound Inequality –

A pair of inequalities joined by “and” or “or”

“And” – the solution must satisfy BOTH inequalities

Ex 3 – Solve and graph

695 and 132 xxx2 2x 1

x5 15x 3and

“or” – the solution must satisfy AT LEAST ONE of the inequalities

Ex 4 – Solve and graph

173or 132 bbb2 4

b 2

b3 6b 2or

HW – p. 57 #4,10,11,20-22,38-40,52-58 even, 73,76,81,84

Out – Solve and graph

Summary – Today’s lesson was…

POW!!

4or 853 xx