Write inequalities to represent the situations below.

Question

To ride a roller coaster, a visitor must be taller than 50 inches.
Use h to represent the height (in inches) of a visitor able to ride.
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At the airport, each piece of luggage to be checked in must not weigh more than 40 pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Answer 1

1) h > 50
2) w ≤ 40

Answer 2

Write inequalities to represent the situations below.
To be eligible for the senior admission rate, a visitor must not be less than 60 years old.
Use y to represent the age (in years) of a visitor who gets the senior rate.
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To get the 10% discount, a shopper must spend at least $100.
Use d to represent the spending (in dollars) of a shopper who gets the discount.

Answer 3

1) y ≥ 60
2) d ≥ 100

Answer 4

Write inequalities to represent the situations below.
To qualify for the championship, a runner must complete the race in at most 45 minutes.
Use t to represent the time (in minutes) of a runner who qualifies for the championship.
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The cargo of the truck weighs no more than 2,400 pounds.
Use w to represent the weight (in pounds) of the cargo.

Answer 5

1) t ≤ 45
2) w ≤ 2400

Answer 6

Write inequalities to represent the situations below.
The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.
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Isabel exercises no less than 45 minutes per day.
Use t to represent Isabel's amount of exercise (in minutes per day).

Answer 7

1) d < 150
2) t ≥ 45