Question

Drag the tiles to the correct boxes to complete the pairs.

Match each inequality to the number line that represents its solution.
x – 99 ≤ -104
x – 51 ≤ -43
150 + x ≤ 144
75 < 69 – x

Answer 1

1. Number line 2

2. Number line 1

3. Number line 4

4. Number line 3

Explanation:

1. x – 99 ≤ -104

Solving by adding +99 on both sides

x - 99 +99 ≤ -104 +99

x ≤ -5

Number line 2 represent x ≤ -5

2. x – 51 ≤ -43

Adding +51 on both sides

x -51 +51 ≤ -43 +51

x ≤ 8

Number line 1 represent x ≤ 8

3. 150 + x ≤ 144

Adding -150 on both sides

150 + x -150 ≤ 144 -150

x ≤ -6

Number line 4 represent x ≤ -6

4. 75 < 69 – x

Adding +x on both sides

75 + x < 69 -x +x

x < 69 -75

x < -6

Number line 3 represent x < -6