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 'greater than'. For example, x > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

How do you solve the inequality: 3 - 2x > 7?

Back

Subtract 3 from both sides: -2x > 4. Then divide by -2 (remember to flip the inequality): x < -2.

Front

How do you solve the inequality: 2(x - 4) > 10?

Back

Distribute 2: 2x - 8 > 10. Add 8 to both sides: 2x > 18. Then divide by 2: x > 9.

Front

How do you solve the inequality: 3x + 5 > 10?

Back

Subtract 5 from both sides: 3x > 5. Then divide by 3: x > 5/3.

Front

How do you solve the inequality: 3x + 8 < 5?

Back

Subtract 8 from both sides: 3x < -3. Then divide by 3: x < -1.

Front

How do you solve the inequality: 2x - 7 < 15?

Back

Add 7 to both sides: 2x < 22. Then divide by 2: x < 11.

Front

What is the solution set of the inequality x < -2?

Back

The solution set includes all real numbers less than -2.

Front

What is the solution set of the inequality x > 9?

Back

The solution set includes all real numbers greater than 9.