Gokul Asked a Question
October 11, 2020 4:53 pmpts 30 pts
Que: If : R>R is a function, SCR,S is countable and TCR, Tis uncountable set, then (a)f(S) is countable iffis oe-one (b) f{S) is countable if f is not one-one © fT) is countable if fis one-one (d) f(T) is countable if fis not one-one
  • 1 Answer(s)
  • 0 Likes
  • 3 Comments
  • Shares
  • Shashi ranjan sinha Best Answer
    S is countable implies f(S) is countable, doesn't matter f is one-one or not......but if T is uncountable, then f is one-one implies f(T) is uncountable and in case f is not one-on...
    Show more
    Likes(0) Reply(1)
    Shashi ranjan sinha
    so, options 1 and 2 are true
  • Deepak singh
    since S is countable then f(S) is always countable either f is one one or not .. and f(T) may be uncountable . So option a and b are correct
    Likes(0) Reply(0)
  • Piyush
    Option ABD are correct
    Likes(0) Reply(0)
Head Office :
MPA 44, 2nd floor, Rangbari main Road Mahaveer Nagar II, Kota (Raj.) - 324005

Branch Office (Jaipur):
Shyam Tower, Plot No. F2, 6th Floor Amrapali Circle,
Vaishali Nagar, Jaipur, Rajasthan 302021

Mail: info@eduncle.com
All Rights Reserved © Eduncle.com