Question

Use the graph below to graph the system of inequalities. Be sure to include your shading.

y > x + 3
y ≤ 3x + -3

Answer 1

y > x + 3 → y = x + 3

for x = 0 → y = 0 + 3 = 3 → (0, 3)

for x = -3 → y = -3 + 3 = 0 → (-3, 0)

dot line and shading above the line

y ≤ 3x - 3 → y = 3x - 3

for x = 0 → y = 3(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 1 → y = 3(1) - 3 = 3 - 3 = 0 → (1, 0)

solid line and shading below the line

Answer in attachment.