Purpose of Inequalities

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Purpose of Inequalities

• Inequalities are useful when setting boundaries
  for acceptable outcomes
• We need to raise at least 30 selling hamburgers
  and hotdogs.
• Sally can spend no more than 50 at the store
• The restaurant has a maximum capacity of 54
  people.
• Joe must run a minimum of 5 miles today

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• 1) Mindy has 400 from graduation presents. She
  wants to buy some new clothes for college. Shirts
  cost 35, and pants cost 45. Write a
  mathematical expression for the number of shirts,
  s, and pants, p, Mindy can buy with her
  graduation money.

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2) Harris has 20.92 to spend on video-game
rentals at a local video store. The store charges
3.95 per video-game rental plus an 8.125 tax.
Write an equation for the maximum number of
video games that Harris can rent.
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3) At Southwest Electronics CDs cost 5.00 per
package, and DVDs cost 10.00 per package. Write
an equation for the number of CDs and DVDs that
can be purchased for 55 or less.
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4) An oyster provides approximately 19 calories,
and a shrimp provides approximately 30 calories.
Jay wants to consume no more than 450 calories
eating oysters and shrimp. Write an equation for
the number of oysters, o, and shrimp, s, that Jay
can eat to stay within this limit?
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5) The Smith family is going on vacation in
Hawaii and has a budget of 2000. It will cost
them 800 to fly to Hawaii, and 200 per day (d)
in their all inclusive (food all expenses
included) resort. Write an inequality for the
maximum number of days that the Smith family can
stay at the resort.
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6) Solve the following inequality for y
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5) The Smith family is going on vacation in
Hawaii and has a budget of 2000. It will cost
them 800 to fly to Hawaii, and 200 per day (d)
in their all inclusive (food all expenses
included) resort. Write an inequality for the
maximum number of days that the Smith family can
stay at the resort.
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6) Solve the following inequality for y