Graphing Inequalities

Front

What does the inequality x ≥ -5 mean on a number line?

Back

The value of x is greater than or equal to -5, meaning it includes -5 and all numbers to the right on the number line.

Front

When should a closed dot be used in graphing inequalities?

Back

A closed dot is used when the inequality includes the value, indicated by the symbols ≤ or ≥.

Front

What does the inequality x < 3 represent on a number line?

Back

The value of x is less than 3, meaning it does not include 3 and includes all numbers to the left on the number line.

Front

What symbols indicate that an open dot should be used in graphing inequalities?

Back

Open dots are used for the symbols < and >.

Front

If x < 3, what type of circle should be used on the graph?

Back

An open circle should be used.

Front

What does the inequality x > 5 mean on a number line?

Back

The value of x is greater than 5, meaning it does not include 5 and includes all numbers to the right on the number line.

Front

What is the difference between ≤ and < in graphing?

Back

≤ includes the endpoint (closed dot), while < does not include the endpoint (open dot).

Front

If a number is less than 8, what could be an example of two numbers that satisfy this condition?

Back

0.8 and 5.9 are both less than 8.

Front

What does the inequality x ≤ 4 indicate?

Back

The value of x is less than or equal to 4, meaning it includes 4 and all numbers to the left on the number line.

Front

How do you represent the inequality x ≥ 2 on a number line?

Back

Draw a closed dot at 2 and shade to the right.