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### Writing Inequalities

• A mathematical sentence that contains one of the following symbols is an inequality.
•  Verbal Description Symbol Is less than < Is greater than > Is less than or equal to ≤ Is greater than or equal to ≥ Is not equal to ≠
• The solution of an inequality is any value that makes the inequality true. The graph of an inequality shows that an inequality can have many solutions. A closed circles indicates that a value is included. An open circle indicates that a value is not included.

## During a recent storm, the wind speed was greater than 44 mph but less than 56 mph. Write an inequality to represent this situation and graph using a number line.

• s > 44, s < 56

## A price of a room at a motel is at least \$ 40.00 and at most \$ 125.00. Write an inequality and graph.

• p ≥ 40, p ≤ 125

## You need to have taken at least 10.5 units of introductory psychology courses before you can become a psychology major. Write an inequality representing the situation. Can Lillian, who has taken 3 introductory courses at 3 units each, declare her psychology major?

• u ≤ 10.5
• Lillian has taken 9 total units: 9 < 10.5

## Write an inequality for 4 is at least half of a number.

• ät least" means " ≥ "
• ä number" is represented by "x"

## Write and use an inequality to solve the problem. A child must be at least 4 feet 11 inches to not need a child seat in a vehicle. Use the table to identify the children that need a child seat.

 Child Height Eric 5'11" Michelle 4'10" Duy 4'11" Tiffany 4'5" David 3'11"
• h ≥ 4 ft 11 in

### Michelle, Tiffany, and David need child seats

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.