Question

Sketch the region defined by the system of inequalities.

1. y - 2x <= 4
2x + y < = 4

Answer 1

y - 2x <= 4
y<=2x+4

First sketch the line y=2x+4
2 is the slope, and 4 is the y-intercept
Shade the half-plane below the line, because the inequality requires y<=2x+4.
I'll leave you #2 as an exercise.