The inequalities h > 42 and h < 60 represents the height requirements for an amusement park ride, where h represents the person's height in inches. Write a description that can be placed on a sign to clearly explain the rules as to who can ride the ride. You may wan to include some examples.

Sagot :

If h > 42 and h < 60, where h is in inches, then we can say 42 < h < 60.

This translates to "the person's height must be between 42 inches and 60 inches, excluding both endpoints".

So for example, if someone is h = 50 inches, then they can go on the ride. This is because 42 < 50 < 60 is true. I've simply replaced h with 50.

On the other hand, something like 42 < 70 < 60 is false, meaning that h = 70 isn't allowed as they are too tall.

The person cannot have a height of h = 42, and they can't have a height of h = 60 either since we're leaving the endpoints out.

As a final example, if the person is h = 40 inches, then they can't ride either because 42 < 40 < 60 is false. They are too short in this case.

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Side notes:

  • 12 inches = 1 foot
  • 42 inches = 3 feet, 6 inches
  • 60 inches = 5 feet
  • 50 inches = 4 feet, 2 inches
  • 70 inches = 5 feet, 10 inches
  • 40 inches = 3 feet, 4 inches