Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, 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 + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides by a negative number.

Front

Solve the inequality -3x ≥ 12.

Back

Divide both sides by -3 (flip the sign): x ≤ -4.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77, then divide by 7: n > 11.

Front

Solve the inequality 8x ≥ -32.

Back

Divide both sides by 8: x ≥ -4.