Question

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 1

@itsbribro

Answer 2

@Secret-Ninja

Answer 3

@thomaster @abswag13 @princeharryyy

Answer 4

@AriPotta

Answer 5

this is how it would look

Answer 6

you first wanna get your inequalities in slope-intercept form

Answer 7

can you do that?

Answer 8

step 1 => draw
x - y = 3
step 2 => draw
y + x = 2
step 3 => for the first equation check what region would it be for the inequality and use
dotted line to represent this line. and shade the solution.
step 4 =>
for the second equation check what region would it be for the inequality and use
bold line to represent this line. and shade the solution.

bold line shows included points with shaded area and dotted line shows excluded points while the shaded area shows included points in that case

Answer 9

@knightmare6

Answer 10

i hope u'll b able to make by yourself now.

Answer 11

uhm so 3-x<y and

2-x>/y

Answer 12

x - y > 3
subtract x from both sides
-y > -x + 3

since y shouldn't be negative, we're gonna multiply the whole inequality by -1, which will change all the signs and flip the inequality sign
y < x - 3


y + x ≤ 2
subtract x from both sides
y ≤ -x + 2

Answer 13

it shows a bunch of question marks so y<-x+3 and then can you draw them

Answer 14

refresh the page when it does the question mark thing

Answer 15

oh okay thanks

Answer 16

so the two equations are now y<-x+3 and y/<-x+2?

Answer 17

y < x - 3 and y ≤ -x + 2

Answer 18

so to graph a line, you first plot the y-intercept

Answer 19

so the first line has a y-intercept of -3. so make a point at (0,-3)

Answer 20

So first put in slope intercept form then graph the y intercept

Answer 21

the slope is 1, so from (0,-3), we're gonna go up 1, and to the right 1, and make another point there.

Answer 22

yes

Answer 23

now that you have two points, you can draw the line through them

Answer 24

since the inequality sign is <, the line will be dotted

Answer 25

or dashed, whatever you wanna call it :)

Answer 26

but there is two equations so what about the other one.

Answer 27

you do that same thing with the other line. make a point at the y-intercept and make another point using the slope.

so make a point at (0,2) and go down 1, and to the right 1, and make another point there.

Answer 28

but the slope is negative 1 so go down 1 and left 1?

Answer 29

oh right 1 okay

Answer 30

no, always to the right

Answer 31

okay i have two more questions if you dont mind.. helping if not its fine

Answer 32

since the inequality sign is ≤, the line will be solid

Answer 33

i can't really, my grandma wants me to start making dinner. good luck though :)

Answer 34

do you know somone who can help me
?