Introduction to Linear Inequalities

Name: _______________________________
Date: _______________________________

Instructions: Solve each inequality. Show your working and represent your solution on the number line provided.

Remember: When multiplying or dividing by a negative number, flip the inequality sign!

1. Solve: x + 5 > 12

Working: _______________________________________________________________

Solution: x _______________

Number line:

|
0
|
5
|
10
|
15
|
20

2. Solve: 3x ≤ 18

Working: _______________________________________________________________

Solution: x _______________

Number line:

|
0
|
3
|
6
|
9
|
12

3. Solve: 2x - 7 < 9

Working: _______________________________________________________________

_______________________________________________________________

Solution: x _______________

Number line:

|
0
|
4
|
8
|
12
|
16

4. Solve: -4x ≥ 20

Working: _______________________________________________________________

Solution: x _______________

Number line:

|
-10
|
-5
|
0
|
5
|
10

5. Solve: 5x + 3 ≥ 23

Working: _______________________________________________________________

_______________________________________________________________

Solution: x _______________