Adding and Subtracting 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, or not equal to the other.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does '≥' represent in inequalities?

Back

'≥' 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 -4 + y < -8?

Back

To solve -4 + y < -8, add 4 to both sides: y < -4.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

To solve x + 5 ≤ 13, subtract 5 from both sides: x ≤ 8.

Front

How do you solve the inequality -24 + k ≤ 10?

Back

To solve -24 + k ≤ 10, add 24 to both sides: k ≤ 34.

Front

What is the solution to the inequality y - 13 ≤ -15?

Back

To solve y - 13 ≤ -15, add 13 to both sides: y ≤ -2.

Front

What does the inequality 6 > x mean?

Back

The inequality 6 > x means that x is less than 6.