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 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 4x - 2 > 8?

Back

Add 2 to both sides: 4x > 10. Then divide by 4: x > 2.5.

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 9x + 3 ≥ 57?

Back

Subtract 3 from both sides: 9x ≥ 54. Then divide by 9: x ≥ 6.

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 5x + 8 ≥ 43?

Back

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