Question

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

Simplify the inequalities and match them with the graphs that represent them.

Answer 1

7x < 42

x + 1 < 8

3x > 15

2x > 12

Explanation:

> means "more than" (shading to the right)

< means "less than" (shading to the left)

Solve the given inequalities

7x < 42

⇒ 7x ÷ 7 < 42 ÷ 7

⇒ x < 6

An open circle on 6, shading to the left

3x > 15

⇒ 3x ÷ 3 > 15 ÷ 3

⇒ x > 5

An open circle on 5, shading to the right

x + 1 < 8

⇒ x + 1 - 1 < 8 - 1

⇒ x < 7

An open circle on 7, shading to the left

2x > 12

⇒ 2x ÷ 2 > 12 ÷ 2

⇒ x > 6

An open circle on 6, shading to the right

Answer 2

• 1) 1, 2) 3, 3) 2, 4) 4

Explanation:

Solve the inequalities and match with the graphs

• 1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 1
• 2) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 3
• 3) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 2
• 4) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4