Answer:
See below
Step-by-step explanation:
a) Create a table containing a few values of x and y
<u> x </u> <u> y </u>
-2 -⅓
-1 ⅓
0 1
1 1⅔
2 2⅓
(b) Draw the graph
Plot the points and draw a straight line through them. Make it a <em>dashed line,</em> because the line does not include the points.
Your graph should look like Fig. 1.
<em>(d) Check a point to see if it satisfies the inequality. </em>
An easy one to check is the origin, (0, 0).
0 < ⅔(0) + 1
0 < 1
The area <em>below </em>the graph satisfies the inequality.
<em>(e) Shade in the area below the graph </em>
This shows that all points in that area satisfy the inequality. The final graph should look like Figure 2.
