Question

The graph below represents which system of inequalities?

Answer 1

y < -2x + 6
y < x + 2

y -2x + 6
y x + 2

y < x - 2
y > 2x + 2

None of the above

Answer 2

Ok Let's start with the Yellow graph. Let's look at it like a line ok?

Answer 3

Ok :)

Answer 4

Now we know that the equation of a line is Y = Mx +B right?

Answer 5

B or D. Im not sure because the symbols are gone for B.

Answer 6

The symbols for B is <=

Answer 7

and yes @babyshawol

Answer 8

Ok so by looking at the line we can find the slope which is Rise/Run. So by picking a point we can find the slope.

Answer 9

I'll show you an example wait

Answer 10

So As you can see Where the black outline is I picked 2 points that were clear so count the Vertical units and the horizontal units of the black outline. What do you get?

Answer 11

The principal factor in this problem is to determine whether it is \[< or \le \]to determine which answer is correct A or B What does the dashed line indicate? Does that mean it includes the line (=)? Or does that mean only greater than the line?

Answer 12

I think you already have established the equations for the lines:
y=-2x + 6
y= x + 2

Answer 13

All that remains is to determine whether y is greater than or is y equal to and greater than.

Answer 14

It means the it is less than or more than but not equal to so therefore A would be correct?

Answer 15

I am inclined to agree with you, as otherwise if it was B they would of used a solid line (I believe that is the convention)

Answer 16

The third choice is wrong as it does not represent the lines in your graph.