Graphing Inequalities on a Number Line

Front

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

Back

All values of k that are less than 3, represented with an open circle at 3 and a line extending to the left.

Front

How do you graph the inequality x < 3?

Back

Use an open circle at 3 and shade to the left.

Front

What symbol is used for a closed circle when graphing inequalities?

Back

≤ or ≥.

Front

What symbol is used for an open circle when graphing inequalities?

Back

< or >.

Front

What does the inequality x ≥ 3 mean?

Back

All values of x that are greater than or equal to 3, represented with a closed circle at 3 and shading to the right.

Front

How do you represent the inequality x > 3 on a number line?

Back

Use an open circle at 3 and shade to the right.

Front

What is the difference between ≤ and < when graphing?

Back

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

Front

If a number line graph has a closed dot at -3 and shading to the right, what inequality does it represent?

Back

x ≥ -3.

Front

What does the inequality k ≤ 3 indicate?

Back

All values of k that are less than or equal to 3, represented with a closed circle at 3 and shading to the left.

Front

How would you graph the inequality x < -2?

Back

Use an open circle at -2 and shade to the left.