Answer:
A. True
Explanation:
<, > - dot line
≤, ≥ - solid line
<, ≤ - shading to the left
>, ≥ - shading to the right
=======================================
y < 4x - 6 → y = 4x - 6
for x = 0 → y = 4(0) - 6 = 0 - 6 = -6 → (0, -6)
for x = 2 → y = 4(2) - 6 = 8 - 6 = 2 → (2, 2)
y > 4x + 2 → y = 4x + 2
for x = 0 → y = 4(0) + 2 = 0 + 2 = 2 → (0, 2)
for x = -1 → y = 4(-1) + 2 = -4 + 2 = -2 → (-1, -2)
Look at the picture.
NO SOLUTION
Other method:
We have the lines y = 4x - 6 and y = 4x + 2. The slopes of lines are the same. Therefore the lines are parallel.
y < 4x - 6 → shadded to the left from the line
y > 4x + 2 → shadded to right from the line
Shaded regions do not have a common part. Therefore, there are no solutions.