Inequalities

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

What inequality does the number line graph represent?

• x≥ 3
• x > 3
• x < -3
• x ≤ 3

Mike has at least $250 in his savings account. Which inequality represents this situation?

• m < 250

• m > 250

• m ≤ 250

• m ≥ 250

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 

• 15h ≤ 105
• 15h > 105
• 15h < 105
• 15h ≥ 105

w + 4 ≤ -5

• w ≤ -9 
• w ≥ -9
• w ≤ -1 
• w ≥ -1

A caterer charges a service fee and a food fee, with the total being less than $1,000. The service fee is $175. Which inequality can be used to determine the food fee?

• x + 175 ≤ 1000

• x − 175 < 1000

• x + 175 < 1000

• x − 175 ≤ 1000

Keith is saving money for a new digital camera with his seasonal job. He will work the next 8 weeks he needs to earn at least $250. Which inequality can be used to find how much money Keith needs to earn each week?

• x + 8 ≥ 250

• 8x ≥ 250

• x + 8 ≤ 250

• 8x ≤ 250

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?

• 637 + x ≤ 2000

• x − 637 ≤ 2000

• 637 + x ≥ 2000

• x − 637 < 2000