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 > 3 means x is greater than 3.

Front

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

Back

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

Front

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

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 an inequality?

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 7x - 3 > 18?

Back

Add 3 to both sides: 7x > 21. Then divide by 7: x > 3.

Front

How do you solve the inequality 4x - 7 ≥ -3?

Back

Add 7 to both sides: 4x ≥ 4. Then divide by 4: x ≥ 1.

Front

How do you solve the inequality 2x + 5 > 12?

Back

Subtract 5 from both sides: 2x > 7. Then divide by 2: x > 3.5.

Front

How do you solve the inequality 6x + 9 ≤ 33?

Back

Subtract 9 from both sides: 6x ≤ 24. Then divide by 6: x ≤ 4.

Front

How do you solve the inequality 3x + 5 ≤ 11?

Back

Subtract 5 from both sides: 3x ≤ 6. Then divide by 3: x ≤ 2.