Let c is the number of CDs and d is the number of DVDs.
\The cost of one CD is 10 dollars and the cost of one DVD is 13 dollars.
\The cost of c CDs is 10c dollars and the cost of d DVDs is 13d dollars.
\The total cost spent on these items is 40 dollars.
\Therefore, this situation represent the inequality .
The number of CDs as x - coordinate and the number of DVDs as y - coordinate.
The graph of the inequality is the shaded region, so every point in the shaded region satisfies the inequality.
The graph of the equation is the boundary of the region. Since the inequality
, the boundary is drawn as a solid line to show that points on the line satisfy the inequality.
To determine which half-plane to be shaded use a test point in either half-plane.
\Substitute the value of in the original inequality.
.
Since the above statement is false, shade the region that does not contain point .
No, the point is not in the shaded region.