Solving Inequalities (Word Problems)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is larger or smaller than the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

Write an inequality for the maximum speed limit of 55 mph.

Back

s ≤ 55

Front

If a parking garage charges $4.50 per hour and you have $18, how do you express the maximum hours you can park?

Back

x ≤ 4

Front

How do you express that Sam needs to work at least enough hours to buy a laptop costing $550 if he earns $10.25 per hour?

Back

10.25h ≥ 550

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

Write an inequality to show that Erin can read at least 80 words per minute.

Back

x ≥ 80

Front

What inequality does the number line graph representing all numbers greater than or equal to 3 show?

Back

x ≥ 3

Front

How do you solve the inequality 10.25h ≥ 550 for h?

Back

h ≥ 54 (h must be rounded up to the next whole hour, so h = 54).

Front

What is the first step in solving an inequality?

Back

Identify the variable and the inequality symbol, then isolate the variable on one side of the inequality.