Home
Class 12
MATHS
Prove that f:X to Y is injective iff for...

Prove that `f:X to Y` is injective iff for all subsets A, B of `X, f (A cap B) =f(A) cap f(B)`.

Answer

Step by step text solution for Prove that f:X to Y is injective iff for all subsets A, B of X, f (A cap B) =f(A) cap f(B). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 (TOPIC TEST 1) |15 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (1 MARK Questions) |9 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions) |12 Videos

  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos
Home
Profile