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?

Back

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

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

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?

Back

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

Front

How do you solve the inequality 8x - 7 < 9?

Back

Add 7 to both sides: 8x < 16. Then divide by 8: x < 2.

Front

How do you solve the inequality 5x + 8 ≥ 43?

Back

Subtract 8 from both sides: 5x ≥ 35. Then divide by 5: x ≥ 7.

Front

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

Back

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

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 12x - 7 ≥ 53?

Back

Add 7 to both sides: 12x ≥ 60. Then divide by 12: x ≥ 5.