Inequalities:Writing and Graphing

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 in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle on 2, and shade to the right.

Front

How do you graph the inequality x < -1?

Back

To graph x < -1, draw a number line, place an open circle on -1, and shade to the left.

Front

What is the difference between 'x ≥ 3' and 'x > 3'?

Back

'x ≥ 3' includes 3, while 'x > 3' does not include 3.

Front

If k < 5, what values can k take?

Back

k can take any value less than 5, such as 4, 0, -1, etc.

Front

What inequality represents 'a number is at least 7'?

Back

The inequality is x ≥ 7.