Solve the following systems of inequalities and select the correct graph:

2x − y < 4
x + y < −1

in each graph, the area for f(x) is shaded and labeled a, the area for g(x) is shaded and labeled b, and the area where they have shading in common is labeled ab.

Please find attachment

Option 2 is correct

Step-by-step explanation:

The system of inequality,

2x - y < 4

x + y < -1

First we draw the graph of both line. So make table of each line

x  :    -1        0        1

y  :    -6     -4       -2

Test point (0,0)

0 - 0 < 4

 0 < 4

True (Shade towards origin)

x  :    -1        0        1

y  :    0        -1       -2

Test point (0,0)

0 + 0 < -1

     0 < -1

False (Shade away from origin)

Plot the points graph.

Please find attachment for graph

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.