Q:

PLEASE HELP ASAP. Which graph represents this system of inequalities? y < or equal to 2x +3 3x + y < or equal to -2

Accepted Solution

A:
y<=2x+3
y=2x+3
x=0β†’y=2(0)+3=0+3β†’y=3β†’Point=(x,y)=(0,3)
y=0β†’0=2x+3β†’2x+3=0β†’2x+3-3=0-3β†’2x=-3β†’2x/2=-3/2β†’x=-1.5β†’
Point=(x,y)=(-1.5,0)
y<=2x+3 is the region below the right line passes trough the points (0,3) and (-1.5,0)

3x+y<=-2
3x+y-3x<=-2-3x
y<=-3x-2
y=-3x-2
x=0β†’y=-3(0)-2=0-2β†’y=-2β†’Point=(x,y)=(0,-2)
y=0β†’0=-3x-2β†’-3x-2=0β†’-3x-2+2=0+2β†’-3x=2β†’-3x/(-3)=2/(-3)β†’x=-2/3β†’
x=-0.67β†’Point=(x,y)=(-0.67,0)
y<=-3x-2 is the region below the right line passes trough the points (0,-2) and (-0.67,0)

Answer: First graph