Solve and Graph Inequalities Word Problem

Write and solve an inequality  for the following word problem.

• 6x ≥ 660, the students must sell at least 110 tickets

• 6x ≤ 660, the students must sell at most 110 tickets

• 6x > 660, the students must sell less than 110 tickets

Solve for a.

• a > 240

• a > 12/20

• a < 240

• a > 32

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ 3

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

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

• 3y > 63

• 3y < 63

• 3y ≤ 63

• 3y ≥ 63

Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)

• Janine's goal is to earn at least $80 for soccer camp.  She has earned $32 so far.  How much more does she need to earn?

• Janine made more than 80 points during the basketball season.  She made 32 points the first five games.  How much did she score the rest of the games?

• Janine scored above an 80 on her math homework.  But, she turned her work in late and was deducted 32 points.  What did she make after the deduction?

Marcos wants to spend at least $80 on new shoes. He has already saved $25. How much more does he need to save?
Which inequality could be used to solve this problem?

• X -25 > 80

• X + 25 > 80

• X + 25 ≤ 80

• X + 25 ≥ 80

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 > 5

• x < −5

• x ≥ 5

• x ≥ −5