Question

The graph below represents which system of inequalities?

Answer 1

y > 2x - 3
y > -x - 3

y < 2x - 2
y < -x + 3

y <= 2x - 2
y > -x + 3

None of the above

Answer 2

@mathstudent55 Can you help me out <3!

Answer 3

Look at the solid line in the graph. A solid line means >= or <=.

Answer 4

Yes?

Answer 5

I have a question for you. Did you copy your choices correctly?

Answer 6

Yes i did

Answer 7

In your 3 choices, only one choice has one inequality with >= or <= in one of the inequalities. All other inequalities only have > or <.

Answer 8

If you copied the choices correctly, then A and B cannot be the answer because they both have only > or <. The solid line means <= or>=. So eliminate choices A and B.

Answer 9

So its either C or D but how do i know??

Answer 10

Oh, I see the choices are below the graph. You are correct.
Once again, A nad B are out. Let's look at C.

Answer 11

Look at the solid line in the graph. It has a y-intercept of what? Where does the solid line cross the y-axis?

Answer 12

It crosses at 1

Answer 13

Thta is the x-axis. I asked where it crosses the y-axis.

Answer 14

-_-sorry -2

Answer 15

OK. That suggests a line with equation
y = mx - 2
Now let's look at the slope of the solid line.

Answer 16

The slope is 1 :D

Answer 17

Start at the point where the solid line crosses the y-axis. Go up 2 units and to the right 1 unit. That's a point on the line, right?

Answer 18

Nope.

Answer 19

Yes it is. That's the point (1, 0) which is the x-intercept and the line goes right through it.

Answer 20

I am really lost