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

asked in Mathematical Logic by Boss (6.4k points)   | 159 views
All are invalid
Please explain why
@arjun sir,pls help in this one.
sorry, I dont want to boil my brain solving such questions. For mathematical logic there are numerous previous year questions and also many PDFs are given in gatecse. When all those are there I do not want to waste time decoding such poorly formatted questions.
i understand arjun sir,but if u colud just tell which option is correct then that would have helped..!

thanks anyway :-)
^That means you did not understand :(

1 Answer

+1 vote
Statement 1)

Let the domain be set of real numbers.

B: true

A: number is integer

LHS = false and RHS= true

So, fale double implies true is false.

 

Statement 2)

Let the domain be set of real numbers.

B: false

A: number is integer

LHS = true and RHS= false

So, true double implies false is false.
answered by Veteran (10.5k points)  
thanks sushant,

if i take one example,we take domain as {3,6,9}

A=div by 2 and B = div by 3

then RHS is obviously TRue but what about LHS --∃x( A(x) -> B(x) ) as here,A is not true for anyone.so LHS is true or false/?
x=6, A is true and B is true. So, LHS=true
sorry,domain is {3,9,15},,then tell for LHS.
Yes, u got it :)
thanks sushant..:-)
Top Users Jan 2017
  1. Debashish Deka

    8126 Points

  2. sudsho

    5042 Points

  3. Habibkhan

    4706 Points

  4. Vijay Thakur

    4458 Points

  5. Bikram

    4348 Points

  6. saurabh rai

    4212 Points

  7. Arjun

    4010 Points

  8. santhoshdevulapally

    3722 Points

  9. GateSet

    3292 Points

  10. Sushant Gokhale

    3286 Points

Monthly Topper: Rs. 500 gift card

19,122 questions
24,033 answers
52,725 comments
20,276 users