Choose the system of inequalities that matches the graph below.

Question

coordinate plane with a solid line through points (0, 7) and (1, 6). A dashed line passes through points (0, 11) and (-1, 8). There is yellow shading below the solid line and blue shading above the dashed line. The shading turns green in the overlap.

 

Choose one answer.
A. x + y < 7
3x - y<(line underneath) -11
 

B. x + y<(line underneath) 7
3x - y < -11
 

C. x + y > 7
3x - y>(line underneath)  -11
 

D. x + y >(line underneath)7
3x - y > -11

Answer 1

 

y > 3x + 11  for  -1 < x < 0    -----> -11 > 3x - y same as 

 

3x - y <  -11

 

y < -1x + 7 for  0 < x < 1      ------>  x + y < (line underneath)7 

 

Therefore answer B is correct.

 

Draw the graphs to convince yourself ! I did!