Question

graph the solution set on the axes below.
yge-x
y<2x-3

Answer 1

Do you know how to graph the linear equations y=-x and y=2x-3?

Answer 2

Recall slope-intercept form is y=mx+b
Both of these are in slope-intercept form.

Answer 3

yes

Answer 4

Put both of those lines on graphing paper together.

Answer 5

Let's go back and look at that inequality part.
y>=-x
y<2x-3

Answer 6

Notice one of those inequalities have an equal sign.
For that line, you are going to make it a solid line.
For the one without the equal sign, you will make it a broken line.

Answer 7

So that will take care of the equals part. We still need to look at the greater than or less than signs.
Let me know when you have got to this point then I will talk about this part.

Answer 8

I already made the lines

Answer 9

is one of them a broken/dashed line?
one of them should be broken and one of them should be solid.

Answer 10

yes ...the one with the equal sign with the solid line and the other one with the dashed line

Answer 11

Ok.
y> means you should shade above the line
y< means you should shade below the line
I would use different colors of shading for both inequalities.
Then I would look to see where I have both colors of shading and that area will be the correct area of shading.

Answer 12

for example

Answer 13

oh ok...so where both inequalities are shaded in the same region that would be the answer?

Answer 14

that would be the correct area of shading

Answer 15

you can look at the inequalities separately
but you want the same region where they both have the shading

Answer 16

oh ok thank you very much

Answer 17

do you want to give a rough picture of what you have
there is a draw tool