Question

how do I do this? it says to graph a compound inequality

Answer 1

will throw out medals

Answer 2

do you know how to graph the lines? eg, \(3x+4y=12\) and \(x-2y=2\)

Answer 3

that's the first thing you have to do. You can plug in 0 for x to find the y-intercepts and plug in 0 for y to find the x-intercepts. That should give you the two points you need to graph each line.

Answer 4

for the 3x+4y=12 I got y=3
so a point would be (0,3) right?
I got y=(0,3) and x=(4,0)
would this be right @peachpi

Answer 5

yes. and you want to use a dashed line because the sign is <.

Use dashed lines for < and > and solid for ≥ and ≤

Answer 6

then the next would be (0,-1) and (2,0)? @peachpi

Answer 7

right

Answer 8

so you should have something like this,