Question

(05.06 MC)

Answer 1

Answer:

A: see below

B: no

Step-by-step explanation:

Part A. The first equation graphs as the area below the dashed line with y-intercept -7 and slope 2.

The second equation graphs as the area above the solid line with x-intercept 6 and y-intercept 3.

The doubly-shaded area representing the solution space is that space approximately the upper-right quadrant of the four sections of the coordinate plane created by the intersection of the lines.

Part B. The point (3, -7) is in the lower-right quadrant of the sections of the coordinate plane described in part A. Thus it is NOT A SOLUTION.

The point (3, -7) fails to satisfy the second inequality. That is ...

  -7 ≥ -1/2·3 +3 = 3/2 . . . . is NOT TRUE

In order to be part of the solution space, a point must satisfy both inequalities.