Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality -2x ≥ 22?

Back

Divide both sides by -2 and flip the inequality sign: x ≤ -11.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

The solution is x ≤ 13.

Front

When solving inequalities, what happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

What is the solution to the inequality 2x + 3 ≥ 13?

Back

The solution is x ≥ 5.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the right.