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Algebra Connections Unit 9 Review – Inequalities 1. Name _____________________ Write an inequality that represents the solutions on the number lines below. a. b. -4 -3 -2 -1 0 1 2 3 4 x 2. Graph the following inequalities on the given number lines. a. 3. x4 b. m 1 Solve each inequality below. Represent your solutions algebraically and on a number line. a. 4. -5 -4 -3 -2 -1 0 1 2 3 4 x 5 3x 14 Solve the following equation by factoring. x 2 7 x 10 0 b. 7k 3 3(k 5) 5. Examine the graph at right and find the slope of the line. y (8, 7) y (2, 4) x x 6. Graph the system of inequalities below. y 2 y x5 3 y 3x 3 x 7. Solve each inequality below. Represent your solution algebraically and on a number line. a. 3x 1 13 or x 2 b. x 4 8 and 3x 12 c. 8. d. 6x 4x 2 or 5x 15 Solve each inequality below. Represent your solution algebraically and on a number line. a. 9. 3x 4 14 and 3x 6x 12 x 1 6 b. 4 x 2 10 Simplify. a. 2x 4 4x x 1x 15x b. 4(x 8) 2(x 8) 8x