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 in an inequality?

Back

The symbol '<' means 'less than'.

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 or equal to'.

Front

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

Back

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

Front

How do you solve the inequality 3x - 2 < 13?

Back

Add 2 to both sides: 3x < 15. Then divide by 3: x < 5.

Front

When graphing the inequality x < 5, what type of circle is used?

Back

An open circle is used for '<' to indicate that 5 is not included.

Front

How do you solve the inequality 10 - 3x < 16?

Back

Subtract 10 from both sides: -3x < 6. Then divide by -3 (flip the inequality): x > -2.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (flip the inequality): x ≥ -10.