Graphing Inequalities

Front

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

Back

≤, ≥

Front

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

Back

<, >

Front

What does the inequality x < 6 represent on a number line?

Back

The values of x that are less than 6.

Front

What does the inequality x ≤ -4 represent on a number line?

Back

The values of x that are less than or equal to -4.

Front

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

Back

The values of x that are greater than or equal to 3.

Front

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

Back

Use an open dot at 2 and shade to the right.

Front

How do you represent the inequality x ≤ -1 on a number line?

Back

Use a closed dot at -1 and shade to the left.

Front

What is the difference between ≤ and < in graphing?

Back

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

Front

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

Back

x ≤ -3

Front

If a number line has an open dot at 4 and shading to the right, what inequality does it represent?

Back

x > 4