HOMEWORK – Solving Inequalities



OTL – Graphing Inequalities Name: ________________________

Advanced Algebra with Trigonometry Per.: ________ Date: __________

1.] Graph each inequality:

x < -2 y > 5

[pic] [pic]

x < 2 OR x > 6 -1 < x < 7

[pic] [pic]

y + 12 ( - 3 y = - 27

-15 [pic] -27 [pic]

2.] Write a compound inequality for each graph:

[pic]

-8 < x [pic]0 x < -1 or x[pic] 10

X [pic] 1 or x > 2 -10 [pic]x [pic] 3

3.] Solve each 1 variable inequality and GRAPH the solution!

a) y + 12 ( - 3 b) - 3x ( - 21 c) - 36 ( 6(y – 2) d) 2( - 2x – 4) ( 4(2x + 8)

y [pic]-15 x < 7 -4 [pic]y -10/3 > x

4.] Draw the graph of each inequality and clearly identify the feasible region!

FEASIBLE FEASIBLE

FR

FEASIBLE

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