Question

This graph shows the solution to the inequalities y>3/2x-2 and y<3/2x-10. Does the system of inequalities have solutions? If so, which region contains the solution?
A) there is no solution
B) there is a solution, and it’s shown by region A.
C) there is a solution, and it’s shown by region C
D) there is a solution, and it’s shown by region B.

Answer 1

We know that

the region A satisfies only the inequality-------> y>3/2x-2 

the region C satisfies only the inequality------->  y<3/2x-10

the region B
does not satisfy any of the two inequalities

there is no region that satisfies both inequalities

therefore
the answer is the option
A) there is no solution