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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 2x > 12?

Back

Divide both sides by 2: x > 6.

Front

How do you solve the inequality a ≤ 25?

Back

The solution is a ≤ 25, meaning a can be any number less than or equal to 25.

Front

What does it mean to graph the inequality a > 11?

Back

Graph a number line and shade to the right of 11, using an open circle at 11.

Front

What does it mean to graph the inequality a ≥ 11?

Back

Graph a number line and shade to the right of 11, using a closed circle at 11.

Front

When do you use an open circle on a graph for an inequality?

Back

Use an open circle when the inequality is > or <.