Mixed Inequalities

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

4x - 10 ≤ 22

• x ≤ 8

• x ≥ 8

• x ≤ 3

• x ≥ 3

Solve for x

• x > 8

• x < 9

• x > 10

• x < 7

Solve the inequality 5x - 8 ≤ 27.

• x ≥ 7

• x = 27

• x ≤ 7

• x ≤ 5

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

-2x + 3(-4x + 6) ≤116

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4

• x ≥ -5 or x < 4

• x > -5 and x ≤ 4

• x ≥ -5 and x < 4