graph solution set of system of inequalities

Question

x+y< 4
x-2y>6

Answer 1

for y+y < 4
y < -x + 4
---> sketch y = -x+4, draw a dotted line for the equation and shade in the region below the line

for x-2y > 6
-y > -x + 6
y < x - 6
---> sketch y = x-6, draw a dotted line for the equation and shade in the region above the line