Solving One-Step 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 x + 9 > 21?

Back

Subtract 9 from both sides: x > 12.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

How do you solve the inequality -8x < 24?

Back

Divide both sides by -8 (remember to flip the inequality): x > -3.

Front

What does it mean if an inequality sign flips when solving?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

Does the sign need to flip when solving 8y < -40?

Back

No, the sign does not need to flip because you are dividing by a positive number.