How am I supposed to graph the linear inequality systems of y => -3x + 1 and y <= -3x - 1?

Answer 1

draw the graphs for the lines as if they were equations.

Now, once you have the line where y equals -3x+1, shade everything above the line, where y is greater than or equal to -3x+1.

It's really quite simple, eh?

Now do the other line and shade above it.

Answer 2

shade below the 2nd line, since y is less