Graphing Inequalities

Front

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

Back

It represents all numbers less than -4, with an open dot at -4.

Front

When do you use a closed dot on a graph of an inequality?

Back

You use a closed dot when the inequality includes ≤ or ≥.

Front

What does the inequality a ≥ 11 mean?

Back

It means that a is greater than or equal to 11.

Front

How is the inequality 11 ≤ a represented on a number line?

Back

It is represented with a closed dot at 11 and shading to the right.

Front

What does the inequality b ≤ -2 indicate?

Back

It indicates that b is less than or equal to -2, with a closed dot at -2.

Front

What is the difference between < and ≤ in graphing inequalities?

Back

< uses an open dot (not including the number), while ≤ uses a closed dot (including the number).

Front

How do you graph the inequality a < 11?

Back

You place an open dot at 11 and shade to the left.

Front

What does the inequality x ≥ 4 signify on a number line?

Back

It signifies that x is greater than or equal to 4, with a closed dot at 4.

Front

What is the meaning of the inequality b > -2?

Back

It means that b is greater than -2, represented with an open dot at -2 and shading to the right.

Front

How do you represent the inequality 11 > a on a graph?

Back

You place an open dot at 11 and shade to the left.