GATE CSE
First time here? Checkout the FAQ!
x
0 votes
53 views

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 (41.2k points)   | 53 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)  
Top Users Feb 2017
  1. Arjun

    5224 Points

  2. Bikram

    4230 Points

  3. Habibkhan

    3748 Points

  4. Aboveallplayer

    2986 Points

  5. Debashish Deka

    2356 Points

  6. sriv_shubham

    2298 Points

  7. Smriti012

    2142 Points

  8. Arnabi

    2008 Points

  9. sh!va

    1654 Points

  10. mcjoshi

    1628 Points

Monthly Topper: Rs. 500 gift card

20,832 questions
25,989 answers
59,623 comments
22,046 users