Mei is making necklaces and bracelets to sell at a craft show.

She has enough beads to make pieces.

Let represent the number of bracelets and y represent the number of necklaces.

a.

Find the possible number of necklaces and bracelets Mei can make .

The inequality the possible number of necklaces and bracelets Mei can make 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 necklaces and bracelets

that can be made.

First solution.

bracelets and necklaces.

Second soluion.

necklaces and bracelets.

Third solution.

bracelets and necklaces.

a.

number of necklaces and bracelets Mei can made.

b.

Graph of the inequality is .

c.

bracelets and necklaces, necklaces and bracelets and bracelets and necklaces.