**Materials:** TI-80 graphing calculator, graph paper

Before you start, clear the calculator’s memory. Press **
MEM** and select the Reset settings until the

display indicates that the memory is cleared.

1. a. Write three ordered pairs that are solutions to the
equation y = 3x + 1.

b. Write three ordered pairs that are solutions to the
inequality y > 3x + 1.

c. Write three ordered pairs that are solutions to the
inequality y < 3x + 1.

d. On the calculator, press ** DRAW ** (**2nd** and **
PRGM**) and select Shade_Y>. Type in

3x + 1 and press **ENTER**. Sketch the display on the calculator onto graph
paper.

[Note: On higher- numbered models , press **Y=** and enter y = 3x + 1. Press **
DRAW ** ,

then select Shade and input the entry Shade (Y_{1}, 10). To display Y_{1}, press **
VARS**;

select Y-VARS, then select Function followed by Y_{1}.]

e. Describe where the points for the ordered pairs in 1.a.
are on the display: on the line y = 3x

+ 1, on the shaded side of the line , or on the unshaded side of the line.

f. Describe where the points for the ordered pairs in 1.b.
are on the display.

g. Describe where the points for the ordered pairs in 1.c.
are on the display.

1. h. How do you think the graphs of y > 3x + 1 and y ≥ 3x
+ 1 compare ?

2. a. Write three ordered pairs that are solutions to the
inequality y < 2x – 3.

b. On the calculator, press **DRAW** (**2nd** and **
PRGM**) and select Shade_Y<. Type in

2x – 3 and press ** ENTER**. Sketch the display on the calculator onto graph
paper.

[Note: On higher numbered models , press **Y=** and enter y = 2x – 3. Press **
DRAW** then

select Shade and input the entry Shade (–10, Y_{1}). To display Y_{1}, press **VARS**;
select

Y-VARS, then select Function followed by Y_{1}.]

c. Describe where the points for the ordered pairs in 2.a.
are on the display.

5. How is graphing an inequality like or unlike graphing
an equation? Use examples to support

your answer.