Solve the system of inequalities by graphing

Question

2x > -6

3x-y ≥ -5

Answer 1

You can graph at DESMOS dot com

x>-3

-----------------------------

3x >= y + 5

3x - 5 >= y

y <= 3x-5

tests the origin (0,0)

first line is dotted/dashed vertical line at x=-3 and shades to the right INCLUDING the origina

since 0>-3 is true

the second line has intercept (0,-5) and two other points (1,-2) and (2,1)

it is a SOLID line and shading is AWAY from the origin since 0 <= 3(0)-5 is FALSE