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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 0 means x is greater than or equal to 0.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

Is x = 10 a solution for x > 10?

Back

No, because 10 is not greater than 10.

Front

Is x = 11 a solution for x < 20?

Back

Yes, because 11 is less than 20.

Front

What does the inequality x > 12 represent?

Back

It represents all numbers greater than 12.

Front

What does the inequality x < 12 represent?

Back

It represents all numbers less than 12.

Front

If x ≥ 0, what set of numbers does this include?

Back

This includes all non-negative numbers: {0, 1, 2, 3, 4...}.