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 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.

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 9x + 3 ≥ 57?

Back

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

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

What is the solution set for the inequality x ≤ 4?

Back

The solution set includes all numbers less than or equal to 4.

Front

What is the solution set for the inequality x ≥ 7?

Back

The solution set includes all numbers greater than or equal to 7.