
graph each inequality y-3x<-4
First we solve the inequality for y
Add 3x on both sides, so inequality becomes
y < 3x -4
Now we graph it
for graphing , replace < symbol with = sign
y= 3x - 4
Now make a table, assume some number for x and find out y
x y
-1 y=3(-1)-4 = -7
0 y=3(0)-4 = -4
1 y=3(1)-4 = -1
Now plot (-1,-7), (0,-4) ,(1,-1) on graph
Join all the points and make a dotted line ( dotted line for < or > symbol)
now we do shading
for < symbol we shade down
for > symbol we shade up
The graph is attached below