Solving Problems with Inequalities

Do I need to flip my sign? 5x  ≥ -30

• Yes

• No

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

What inequality does the number line graph represent?

• x≥ 3

• x > 3

• x < -3

• x ≤ 3

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Which graph matches the inequality
r ≥ -6?

• A

• B

• C

• D

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41

• Calvin ran no less than 41 miles, m

• The temperature, m, was less than 41°F

• The magazines’ cost, m, was not more than $41.

Which represents the word sentence as an inequality?
A number w is smaller than 5.

• w < 5

• w > 5

• w ≤ 5

• w ≥ 5

Which inequality represents the statement below. I can have no more than 10 pieces of candy.

• x ≥ 10

• x > 10

• x ≤ 10

• x < 10

Erin can read at least 80 words per minute. Write an inequality to show this situation. 

• x > 80

• x < 80

• x ≥ 80

• x ≤ 80

A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?

• x > 4

• x < 4

• x ≤ 4

• x ≥ 4