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 'is less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'is greater than'.

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph an inequality like 'x < 3'?

Back

To graph 'x < 3', draw a number line, place an open circle at 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph an inequality like 'x ≥ 2'?

Back

To graph 'x ≥ 2', draw a number line, place a closed circle at 2, and shade to the right to indicate all numbers greater than or equal to 2.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the difference between '<' and '≤'?

Back

'<' means less than, while '≤' means less than or equal to.

Front

If x < 5 and x > 2, what is the range of x?

Back

The range of x is 2 < x < 5.