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.

Answer 1

@FlvsGirl

Answer 2

@texaschic101 I gtg, so sorry....

Answer 3

y >= -2x - 2
slope is -2
y intercept is (0,-2)
x intercept can be found by subbing in 0 for y.. (you do not need the inequality sign right now, so change it to just an equal sign
0 = -2x - 2
2x = -2
x = -1....so the x intercept is (-1,0)

plot your intercepts...(0,-2) and (-1,0)
so start at (-1,0) and since your slope is -2, go down 2 and to the right 1, then down 2, and to the right 1, and you should cross the y axis at (0,-2)

it will be a solid line because we have an equal sign. It will be shaded above the line because it is greater then.

now for the next line
y + x >= 0
y >= -x + 0
slope is -1
y intercept is (0,0)
x intercept is :
y = -x + 0
-1x = 0
x = 0...so the x intercept is (0,0)

so start at (0,0)...and since the slope is -1, go down 1 and to the right 1, and down 1 and to the right 1.

It will be a solid line because we have the equal sign. It will be shaded above the line because it is greater then.

Answer 4

oh ok wow thats alot is tht the answer ???..

Answer 5

That is the steps to graph it...

Answer 6

uh... lol how exactly will i be able sort of put this in a little steps jw cuse thts alot

Answer 7

does it have to be for this exact problem, or can it be the steps to solve for any system of inequalities ?

Answer 8

it has to be for tht pacific equation i wish i could any other system

Answer 9

lets make it shorter then...

y >= -2x + 2
slope = -2
y intercept = (0,2)
x intercept = (-1,0)

start at (-1,0) and since slope is -2, go down 2 and to the right 1, and down 2 and to the right 1 and you should cross the y axis at (0,-2)

solid line because it has an equal sign. Shading above the line because it is > then.

Next line..
y + x >= 0
slope = -1
y intercept = (0,0)
x intercept = (0,0)

start at (0,0) and since slope is -1, go down 1, and to the right 1, then down 1 and to the right 1.

solid line because it has an equal sign. Shading above the line because it is > then.

That is the shortest I can make it

Answer 10

I am sorry but I have to go now....I hope I helped

Answer 11

oh ok thts actually perfect :D ok so is tht for part a. ok yea u helped a lot tysm :D

Answer 12

:)

Answer 13

:) ignore the *is tht part a* thing lol i was looking at a diff question lol but ty again :)

Answer 14

oh hey btw can u delete the thing u posted js cuse just in case my teacher or a mod comes and sees it