# Question #114fc

##### 1 Answer

#### Answer:

#### Explanation:

For reference lets call the "upper" line that crosses the Y-axis at

and the "lower" line that crosses the Y-axis at

**For Line A**

We note the following points are on the line:

Since this is a straight line, the slope is constant for all pairs of points:

The identified area is below this line and the hollow "bubbles" indicate the points on the line are not to be included.

Therefore Line A provides the constraint

**For Line B**

The V shape of Line B indicates that the equation for this line involves the absolute value of a linear expression of

Since the "turning point" occurs at

the absolute expression is

Since the "turning point" is at

we note that relative to

that is the equation for Line B

The identified area is above (and includes, since there are no "bubbles") Line B.

Therefore Line B provides the constraint

**Combining the Areas**

The identified area meets both Line A and Line B constraints.

Therefore the identified area is constrained by

or (in set notation)