Inequalities with word problems

Front

What symbols are used for a closed dot when graphing an inequality?

Back

≤, ≥

Front

What is the equation that represents Jim's total payment of $290 for a gym membership fee of $50 plus $20 per month?

Back

50 + 20m = 290

Front

How can you determine if a given value is a solution to an inequality?

Back

By substituting the value into the inequality and checking if the statement is true.

Front

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

Back

You flip the inequality symbol.

Front

If Mrs. Scott spends no more than $120 on a jacket and a skirt, and the jacket costs $20 more than 3 times the price of the skirt, what inequality represents the price of the skirt?

Back

3x + 20 ≤ 120

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality uses < or >, while a non-strict inequality uses ≤ or ≥.

Front

What does it mean to solve an inequality?

Back

To find all values of the variable that make the inequality true.

Front

How do you graph a strict inequality?

Back

Use an open dot to indicate that the endpoint is not included.

Front

What is the first step in solving a multi-step inequality?

Back

Isolate the variable on one side of the inequality.

Front

What is the significance of the solution set in an inequality?

Back

It represents all possible values that satisfy the inequality.