Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 2(b - 8) > 12?

Back

First, distribute the 2: 2b - 16 > 12. Then, add 16 to both sides: 2b > 28. Finally, divide by 2: b > 14.

Front

How do you solve the inequality s - 10 ≤ 1?

Back

Add 10 to both sides: s ≤ 11.

Front

How do you solve the inequality b/2 < 13?

Back

Multiply both sides by 2: b < 26.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, which can be rewritten as x ≤ 13.

Front

How do you solve the inequality 6x - 4 ≥ 26?

Back

Add 4 to both sides: 6x ≥ 30. Then, divide by 6: x ≥ 5.