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'. For example, 3 < 5 means 3 is less than 5.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 2 ≤ 2 means 2 is less than or equal to 2.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 5 ≥ 3 means 5 is greater than or equal to 3.

Front

How do you solve the inequality 3 + k < 10?

Back

Subtract 3 from both sides: k < 7.

Front

What is the solution to the inequality c - 2 > 7?

Back

Add 2 to both sides: c > 9.

Front

Is g = 3 a solution to the inequality 8 - g > 5?

Back

No, because 8 - 3 = 5, which is not greater than 5.

Front

Is m = 7 a solution to the inequality 35 < 5m?

Back

No, because 5 * 7 = 35, which is not greater than 35.

Front

Is y = 3 a solution to the inequality 21 > 7y?

Back

No, because 7 * 3 = 21, which is not less than 21.