Susan received a gift card from an electronics store for .

She wants to spend the money on DVDs and CDs.

DVDs cost each, and CDs cost each.

a.

Let equal the number of DVDs, and let equal the number of CDs.

Find the possible combinations of DVDs and CDs that Susan can purchase.

The inequality that shows the possible number of DVDs and CDs Susan can purchase is

.

b.

Step 1:

The boundary of the graph is the graph of .

Since the inequality symbol is , the boundary line is solid.

is less than equal to , so the region less than or equal to is shaded.

Step 2:

Consider a test point as .

The statement is true.

Shade the inequality containing the point .

Graph:

Graph of the inequality is .

c.

Find the three possible solutions for the number of DVDs and CDs she can buy.

First solution.

CDs and DVDs.

Second soluion.

CDs and DVDs.

Third solution.

CDs and DVDs.

a.

number of DVDs and CDs Susan can purchased.

b.

Graph of the inequality is .

c.

CDs and DVDs, CDs and DVDs and CDs and DVDs.