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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 3x + 1.5 > 4.5?

Back

Subtract 1.5 from both sides: 3x > 3. Then divide by 3: x > 1.

Front

How do you solve the inequality 2x - 0.5 > 5.5?

Back

Add 0.5 to both sides: 2x > 6. Then divide by 2: x > 3.

Front

How do you solve the inequality x - 4 > 3?

Back

Add 4 to both sides: x > 7.

Front

How do you solve the inequality -5x + 2 > 8.5?

Back

Subtract 2 from both sides: -5x > 6. Then divide by -5 (remember to flip the inequality): x < -1.2.

Front

How do you solve the inequality x - 2 > 3?

Back

Add 2 to both sides: x > 5.