Question

A system of linear inequalities is shown below:

y ≥ -2x - 2
y + x ≥ 0

Describe the steps to graph the solution set to the system of inequalities. (10 points)

Answer 1

@texaschic101 could you please please help me

Answer 2

@jim_thompson5910 help

Answer 3

do you know how to graph equations ? You can pretty much do the same thing with inequalities except for a few things.
First put the inequality in y = mx + b form where m is the slope and b is the y intercept.
y >= -2x + 2 -- disregard the inequality sign and sub in a 0 (for the moment)
y = -2x + 2 --- so the slope is -2 and the y intercept is (0,2)
the x intercept can be found by subbing in 0 for y
y = -2x + 2
0 = -2x + 2
2x = 2
x = 1.....so the x intercept is (1,0)
Now we know the intercepts are (0,2) and (1,0)
Now put back in your inequality sign .. y >= -2x + 2..
if it has an equal sign, the line is solid...if it is greater then, shading occurs above the line.
So plot your intercepts....connecting them with a solid line...then shade above the line.
That is one line...with this info, do you think you can graph the other line by doing the exact same thing I did for this line ?

Answer 4

oops...disregard the inequality sign and sub in an = sign

Answer 5

i think i could do the other line thanks alot :) if i get stuck on something could i send you a message?

Answer 6

of course you can

Answer 7

k thanks :)