Intro to 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 '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

Does x = -5 satisfy the inequality x > -4?

Back

No, because -5 is not greater than -4.

Front

What is the solution set for the inequality x > 0?

Back

The solution set is all positive numbers: {1, 2, 3, 4...}.

Front

What is the solution set for the inequality x ≥ 0?

Back

The solution set is all non-negative numbers: {0, 1, 2, 3, 4...}.

Front

Is x = 11 a solution for x < 20?

Back

Yes, because 11 is less than 20.

Front

What is the opposite of the inequality x < 5?

Back

The opposite is x ≥ 5.