Solving Absolute Value Inequalities

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Solving Absolute Value Inequalities

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Solve the given inequality. Graph the solution set on a number line.

1.

4m

2 < 2 or 6m + 2

6

a.	{m \| m < 1 or m 0.67}
b.	{m \| m < 1 or m 0.67}
c.	{m \| m 1 or m 0.67}
d.	{m \| m < 1 or m 0.67}

2.

m

1< 7 and m + 2

8

a.	{m \| m < 8 and m 6}
b.	{m \| m < 8 and m 6}
c.	{m \| m 8 and m 6}
d.	{m \| m < 8 and m 6}

3.

| m |

10

a.	The solution set is {m \| m 10 or m 10}.
b.	The solution set is {m \| m < 10 or m > 10}.
c.	The solution set is {m \| m < 10 or m > 10}.
d.	The solution set is {m \| m < 10 or m > –10}.

4.

| p 5 |

9

a.	The solution set is {p \| p > 14 or p < –4}.
b.	The solution set is {p \| p > –4 or p < 4}.
c.	The solution set is {p \| p > –4 and p < 14}.
d.	The solution set is {p \| p > 9 or p < 5}.

5.

Which inequality has the solution set graphed below?

a.		c.
b.		d.

6.

Which is the solution set of

?

a.		c.
b.		d.

7.

Which inequality has the empty set as its solution set?

a.		c.
b.		d.

8.

Which inequality has the set of all real numbers as its solution set?

a.		c.
b.		d.

9.

Which graph shows the solution set for

?

a.		c.
b.		d.

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