Which part of the graph best represents the solution set to the system of inequalities y< _ x+1 and y+x< _ -1

Hence, the solution set of the graph of the system of linear inequalities lies in:

PART C

Step-by-step explanation:

We are asked to find which part of the graph represents the solution set of the system of equations:

y ≤ x+1 This inequality could also be written as:

-x+y ≤ 1  ( The graph of this inequality will be a straight line passing through (-1,0) and (0,1) with shading lying towards the origin)

y+x ≤ -1  ( The graph of this inequality will be a straight line passing through (-1,0) and (0,-1) and shaded region away the origin)

Hence, the shaded region of the solution will lie in:

PART C

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

3 is greater then both of those numbers