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Q.61 The number of solutions for the following system of inequalities is
X1≥ 0
X2 ≥ 0
X1+ X2 ≤ 10
2X1+ 2X2 ≥ 22

 

(A) 0 (B) infinite (C) 1 (D) 2

asked in Numerical Ability by Veteran (41.3k points)   | 65 views

1 Answer

+2 votes

X≥ 0                             ...[1]
X2 ≥ 0                             ...[2]
XX≤ 10                    ...[3]
2X+ 2X 22                 ...[4]


Now the equation [4] can be written as
X
+ X≥ 11                     ...[5]
Now equation [3] and [5] cannot hold true together since X
≥ 0 and X2 ≥ 0.
Hence system of inequalities can never be satisfied.
Hence Answer A)0

 

answered by Boss (8.7k points)  


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