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 or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

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 4x - 7 ≥ -3?

Back

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

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 5x + 8 ≥ 43?

Back

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

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

What is the solution set for the inequality x ≤ 2?

Back

The solution set includes all numbers less than or equal to 2.

Front

What is the solution set for the inequality x ≥ 1?

Back

The solution set includes all numbers greater than or equal to 1.