Chapter 10. Inequality

What are two solutions to x < 8?

• 8.6, 7.9
• 11, 16
• 0.8, 5.9
• 12, 7.1

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

The product of x and 7 is not greater than 10

• 7x >10
• 7x ≤ 10
• 7 + x < 10
• ⁷ / _x <  10

A chef has 7 pounds of potatoes.  She needs more than 14 pounds for dinner.  What inequality describes the amount of potatoes the chef needs to buy?

• x - 7 > 14
• x + 7 > 14
• x - 7 < 14
• x + 7 < 14

|p+4|≤ 8

• -42 ≤ p ≤ 16
• -5 ≤ p <6
• 12 > p > 9
• -12 ≤ p ≤ 4 

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

4x - 3 ≥ 2x - 1

• x ≤ -1

• x ≥ -1

• x ≤ 1

• x ≥ 1

-2x + 3(-4x + 6) ≤116

• x ≤ -7
• x ≥ 29
• x ≥ -7
• x ≤ 29

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3
• x/3 + 20 ≤ 120
• 3x + 20 ≤ 120
• 3x + 20 ≥ 120