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 an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides: 3x < 15. Then divide by 3: x < 5.

Front

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

Back

An open circle is used when the inequality is > or <.

Front

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

Back

A closed circle is used when the inequality is ≥ or ≤.

Front

What is the solution set for the inequality x < 6?

Back

The solution set includes all numbers less than 6.

Front

How do you represent the inequality a ≥ 11 on a number line?

Back

Draw a closed circle at 11 and shade to the right.