Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 4 means x is greater than 4.

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

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

How do you solve the inequality 2x + 10 > 14?

Back

Subtract 10 from both sides: 2x > 4. Then divide by 2: x > 2.

Front

What is the solution to the inequality -3x - 7 ≤ 11?

Back

Add 7 to both sides: -3x ≤ 18. Then divide by -3 (remember to flip the inequality): x ≥ -6.

Front

What is the solution to the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

What is the solution to the inequality b > -6?

Back

The solution is all values of b that are greater than -6.

Front

What is the solution to the inequality x < 4?

Back

The solution is all values of x that are less than 4.