Question

Write inequalities to represent the situations below

The distance to the nearest exit door is no more than 150 feet.

Use d to represent the distance (in feet) to the nearest exit door.

To ride a roller coaster, a visitor must be taller than 60 inches.

Use h to represent the height (in inches) of a visitor able to ride.

Answer 1

The distance to the nearest exit door is no more than 150 feet.

Use d to represent the distance (in feet) to the nearest exit door.

For this case we can create the following inequality based in the notation and condition given, when they says no more means that the possible value nees to be equal or lower than the specified value.

`d \leq 150`

To ride a roller coaster, a visitor must be taller than 60 inches.

Use h to represent the height (in inches) of a visitor able to ride.

For this case we can create the following inequality based in the notation and condition given, when they says must be taller means that the possible value nees to be higher than the specified value.

`h > 60`

Explanation:

The distance to the nearest exit door is no more than 150 feet.

Use d to represent the distance (in feet) to the nearest exit door.

For this case we can create the following inequality based in the notation and condition given, when they says no more means that the possible value nees to be equal or lower than the specified value.

`d \leq 150`

To ride a roller coaster, a visitor must be taller than 60 inches.

Use h to represent the height (in inches) of a visitor able to ride.

For this case we can create the following inequality based in the notation and condition given, when they says must be taller means that the possible value nees to be higher than the specified value.

`h > 60`