2. State an Inequality That Is Represented by Each Graph

Math 9 InequalitiesLesson 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
-1 is not a solution / x  3
- 1 is a solution / x > -7
-1 is a solution
x  14
-1 is a solution / x < -2
-1 is not a solution / x  -7
-1 is a solution

5. Graph each inequality.

a) b > 3b) s < 7c) -2  vd) w  - 12e) f) -3.5 < y

7. Solve and graph each inequality.

a) 5s  25b) 7a < -21c) 2.5d  - 10d) e) f)

g) 12 – t  22h) k + 5  13 i) j – 5.6 > 4.4j) x + 5  - 4

9. Solve and check.

a) 3d – 2  - 20b) 19 – 3h < 7 c) 3 – 6v < 15 d) 4a + 11 > - 5

e) 11.5 < -2p + 1.5 f) 4t + 21  t + 6g) 13 – q  - 5 + 8qh) y + 1  -2 + 3y

3d – 2 + 2  - 20 + 2
3d  - 18
d  - 6 / 19 – 19 – 3h < 7 – 19
- 3h < - 12
/ 3 -3 – 6v < 15 – 3
-6v < 12

4a + 11 – 11> - 5 – 11
4a > - 16
a > - 4 / 11.5 – 1.5 < -2p + 1.5 – 1.5
10 < -2p
/ 4t + 21 – 21  t + 6 – 21
4t  t – 15
4t – t  t – t – 15
3t  - 15
t  - 5
13 + 5 – q  -5 + 5 + 8q
18 – q  8q
18 – q + q  8q + q
18  9q
2  q / y + 1 + 2  - 2 + 2 + 3y
y + 3  3y
y – y + 3  3y
3  3y
1  y

10. Solve, graph, and check each inequality.

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

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

i) 9 + j) 10z + 18  - 1 – 2z