Question

Which graph represents the solution set of the system of inequalities? {y<2x+2 x+y≥−3

Answer 1

y < 2x + 2

y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)

x + y ≥ -3     |-x

y ≥ -x - 3

The slope intercept form: y = mx + b

m - slope, b - y-intercept

y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)

y < 2x + 2 shaded below the line (pic. 1)

y ≥ -x - 3 shaded above the line (pic. 1 and 2)

Answer: pic.1