Inequalities for Word Problems

The inequality shown below represents fees for two different apartments. 500x + 700 < 650x + 200 Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

Printing A prints pictures for $0.10 each and a $50 membership fee.  Printing Q prints pictures for $2 each with no membership fee.  Which inequality would be used to determine when Printing A is greater than Printing Q?

• 0.1p + 50 > 2p

• 0.1p + 50 < 2p

• 50p + 0.1 < 2p

• 50p + 0.1 > 2p

Papaya charges $5 per DVD rental and a $10 membership fee.  Hutto charges $2 per DVD and a $60 membership fee.  Which inequality best represents when the charges from Papaya is less than Hutto?

• 10 + 5d < 60 + 2d

• 10 + 5d > 60 + 2d

• 10d + 5 < 60d + 2

• 12d > 70

Match the graph with the given solution.

• A

• B

• C

• D

 Solve and then match the correct solution & graph.

• A

• B

• C

• D

at least

• <

• >

• ≤

• ≥

Translate into an inequality:
2 times a number is greater than 6

• 2-x<6

• 2x>6

• 2x>-6

• 2x<6

Dan has 5 less than twice the amount of cookies as Trinity.  The difference between their amounts of cookies is 7.
How many cookies does Dan have?

• 24

• 12

• 5

• 19