Question

Solve the system of inequalities by graphing.
y≤-x-2
y>3x-3

Answer 1

will give medal

Answer 2

@blurbendy

Answer 3

@satellite73

Answer 4

Do you know how to graph the equation of a line?
For example, can you graph y = x - 2?

Answer 5

yes

Answer 6

Ok. To graph the inequalities you have, you start with the corresponding line.
Let's do it one inequality at a time.

Answer 7

think it is actually \(y=-x-2\) right?

Answer 8

kk

Answer 9

now i will be quiet so @mathstudent55 will explain

Answer 10

no

Answer 11

xD

Answer 12

@satellite73 Thanks.

Let's start with the first inequality.
First think of its corresponding equation. All you do is change the inequality sign to an equal sign.

y = -2x - 2

Answer 13

Since the original inequality has a less than or EQUAL to sign, graph the corresponding equation with a solid line.

Answer 14

????

Answer 15

@Hero that has been taken care of above. See satellite73's comment.

Then take one point not on the line and test it in the inequality

Answer 16

Oh, now I get it. thanks @Hero

Answer 17

which one do i graph

Answer 18

Ok, sorry about that.

The first inequality is
y ≤ - x - 2
Let's graph its corresponding equation using a solid line.
y = -x - 2

Answer 19

so graph y=-x - 2

Answer 20

Yes.

Answer 21

kk