2. State an Inequality That Is Represented by Each Graph

Math 9 Inequalities Lesson 1-5b MOM Page 165

Name SOLUTIONS

2. State an inequality that is represented by each graph. x > 1 x  2 x < - 10 x  8

3. Write an inequality that is represented by each graph. Is -1 a solution to each inequality? How can you tell? x > 0 x  3 x > -7 -1 is not a solution - 1 is a solution -1 is a solution x  14 x < -2 x  -7 -1 is a solution -1 is not a solution -1 is a solution

5. Graph each inequality. 1 a) b > 3 b) s < 7 c) -2  v d) w  - 12 e) 5  m f) -3.5 < y 2

7. Solve and graph each inequality.

1 1 1 a) 5s  25 b) 7a < -21 c) 2.5d  - 10 d) x  2 e) y  4 f) p  9 6 4 3

g) 12 – t  22 h) k + 5  13 i) j – 5.6 > 4.4 j) x + 5  - 4 9. Solve and check. a) 3d – 2  - 20 b) 19 – 3h < 7 c) 3 – 6v < 15 d) 4a + 11 > - 5 e) 11.5 < -2p + 1.5 f) 4t + 21  t + 6 g) 13 – q  - 5 + 8q h) y + 1  -2 + 3y

3d – 2 + 2  - 20 + 2 19 – 19 – 3h < 7 – 19 3 -3 – 6v < 15 – 3 3d  - 18 - 3h < - 12 -6v < 12  3h 12  6v 12 d  - 6    3  3  6  6 h  4 v  2 4a + 11 – 11 > - 5 – 11 11.5 – 1.5 < -2p + 1.5 – 1.5 4t + 21 – 21  t + 6 – 21 4a > - 16 10 < -2p 4t  t – 15 a > - 4 10  2 p  4t – t  t – t – 15  2  2 3t  - 15  5  p t  - 5 13 + 5 – q  -5 + 5 + 8q y + 1 + 2  - 2 + 2 + 3y 18 – q  8q y + 3  3y 18 – q + q  8q + q y – y + 3  3y 18  9q 3  3y 2  q 1  y

10. Solve, graph, and check each inequality.

a) x + 3 > 2 b) 2x + 1  7 c) y – 3  - 8 d) -3x + 2 > 14

e) 4 – a < 9 f) 4x – 7  x – 1 g) 5t – 17 < 19 – 4t h) -2.6p + 13  -5.2

1 i) 9 + r  2r  4 j) 10z + 18  - 1 – 2z 3