Question

Can someone Explain to me how Graph this?

Answer 1

A system of linear inequalities is shown below.

x - y > 3
y + x ≤ 2

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

Answer 2

First graph the lines

x - y = 3
y + x = 2

Answer 3

ok hold on

Answer 4

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Answer 5

Take a point (0,0) and pt it n these 2 inequalities. If the inequalities holds then shade that portion containing 0. Else the other.

Answer 6

like sub x for 0?

Answer 7

x - y > 3
y + x ≤ 2

Both x and y

for example 0-0>3 false so shade down part

Answer 8

Im confused i dont get it...

Answer 9

well ask your teacher...

Answer 10

do your own work

Answer 11

wtf? This website is to ask for help to have people help u

Answer 12

yeah well thats what I said when you didn't help me sooo....

Answer 13

???

Answer 14

on the yearling

Answer 15

tag ppl that will help

Answer 16

First write the first line in the slope-intercept equation of a line.
x - y > 3
-y > -x + 3
y < x - 3 ---This step is a little weird, but basically when you multiply everything by a minus, you have to change the sign
Now just graph
y = x - 3
(First attached picture)
Now to figure out which side we need to shade, put in some values for x and y like aravindG said. Let's but in y = 0 and x = 0
(0)<(0) - 3
0 < -3
This is a false statement, so we have to shade everything on the other side of the line (second attached picture)

Now we just do the same thing with the second equation and where the shading overlaps is the solution for this inequality.

Are you following me so far?

Answer 17

yes

Answer 18

Ok, try turning the second equation (y + x ≤ 2) into the slope-intercept equation of a line.

Answer 19

???

Answer 20

Ok...don't worry about the ≤ just about yet, pretend that's an = sign momentarily. So, how do we turn y+x = 2 into the slope intercept from?

Answer 21

2=x+y???

Answer 22

Well, the slope intercept form of a line is y = mx + b, where m = slope and b = y intercept, right?
So what I was looking for was
y+x = 2
y = -x + 2, because now we can graph this line.
Now that we can graph it, let's add it to the graph we already have (attached picture, the blue line is our new line)

Now we need to figure out which side of the line we need to shade.
We have y ≤ -x + 2, the only difference here is this sign is saying y is less than or greater to -x + 2.
See if you can figure out which side of the line we need to shade.

Hopefully this is making sence..