Solving Inequalities

What inequality is graphed here?

• x > 1
• x ≥ 1
• x < 1
• x ≤ 1

What inequality is graphed here?

• x ≤ -2
• x < -2
• x > -2
• x ≥ -2

Translate: 5 times a number is at least 60.

• 5x < 60

• 5x > 60

• 5x ≤ 60

• 5x ≥ 60

Translate:

A number increased by 4 is no more than -18.

• x + 4 < -18

• x + 4 > -18

• x + 4 ≤ -18

• x + 4 ≥ -18

Translate:

Twice a number is smaller than 42.

• 2x < 42

• 2x > 42

• 2x ≤ 42

• 2x ≥ 42

-3 + x ≤ -11

• x ≤ -8
• x ≤ 8
• x ≥ -8
• x ≥ 8

6x - 4 ≥ 26

• x ≥ 3.67
• x ≥ 5
• x < 5
• x ≤ 5

3x - 2 < 13

• x > 3.67
• x > 5
• x < 5
• x < 3.67

2x < -3x + 15

• x > 3
• x > 15
• x < 3
• x < 15

2x - 3 ≥ 4x - 1 

• x ≤ -1
• x ≥ -1
• x ≤ 1
• x ≥ 1