Answer:
The system of inequalities has no solution is:
Option: C
x+3y is less than or equal to 0.5
x+3y is greater than or equal to 2.5
Step-by-step explanation:
A.
x+3y is greater than or equal to 0.5 i.e. x+3y ≥ 0.5
x+3y is less than or equal to 2.5 i.e. x+3y ≤ 2.5
Hence, the common region i.e. obtained from the above 2 inequalities is:
0.5 ≤ x+3y ≤ 2.5
B.
x+3y is greater than or equal to 0.5 i.e. x+3y ≥ 0.5
x+3y is greater than or equal to 2.5 i.e. x+3y ≥ 2.5
Hence, the common region of the two inequalities will be:
x+3y ≥ 2.5
C.
x+3y is less than or equal to 0.5 i.e. x+3y ≤ 0.5
x+3y is greater than or equal to 2.5 x+3y ≥ 2.5
Hence, the intersection of the region obtained by two inequalities will be empty set.
Hence, the system of inequalities is empty.
Also, by the graph attached of option: C. , it could be observed.
