Graphing Inequalities on Number Lines

Front

What does the inequality x ≥ -5 mean?

Back

The value of x is greater than or equal to -5.

Front

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

Back

All values of k that are less than 3.

Front

What does the inequality x ≥ 3 indicate?

Back

The value of x is greater than or equal to 3.

Front

When graphing an inequality, what symbol indicates an open dot?

Back

The symbols < and > indicate an open dot.

Front

What does the inequality 2.75 < d mean?

Back

The value of d is greater than 2.75.

Front

How do you represent x < 5 on a number line?

Back

Draw a number line with an open dot at 5 and shade to the left.

Front

What does an open dot on a number line signify?

Back

It signifies that the endpoint is not included in the solution.

Front

What does a closed dot on a number line signify?

Back

It signifies that the endpoint is included in the solution.

Front

How would you graph x ≤ 4 on a number line?

Back

Draw a number line with a closed dot at 4 and shade to the left.

Front

What is the difference between x > 2 and x ≥ 2?

Back

x > 2 does not include 2, while x ≥ 2 includes 2.