Question

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.

Answer 1

Answer:

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

• For line 2x - y < 4

x  :    -1        0        1

y  :    -6     -4       -2

Test point (0,0)

0 - 0 < 4

 0 < 4

True (Shade towards origin)

• For line x + y < -1

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