Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to.' It indicates that one value is either less than or equal to another.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to.' It indicates that one value is either greater than or equal to another.

Front

How do you represent a maximum weight limit in an inequality?

Back

You use the symbol ≤. For example, if the maximum weight is 50 lbs, it is represented as p ≤ 50.

Front

How do you represent a minimum number of people in an inequality?

Back

You use the symbol >. For example, if there are more than 10 people, it is represented as p > 10.

Front

Solve the inequality: x + 5 ≤ 13

Back

x ≤ 8.

Front

What type of dot is used when graphing ≤ or ≥?

Back

A closed dot is used when graphing ≤ or ≥.

Front

What type of dot is used when graphing < or >?

Back

An open dot is used when graphing < or >.

Front

Match the inequality with its graph: b ≤ –2

Back

The graph will have a closed dot at -2 and shade to the left.

Front

What is the solution to the inequality: 3x > 9?

Back

x > 3.