Home
Class 11
MATHS
For all sets A, B and C, if A sub C a...

For all sets A, B and C, if `A sub C` and ` B sub C`, then `A uu B sub C`.

Text Solution

Verified by Experts

Let `x in A uu B`
`rArr x in A` and `x in B`
`x in C` and `x in C` , [`:' A sub C` and `B sub C]`
`rArr x in C rArr A uu B sub C`
Hence, given statement is true.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT EXEMPLAR|Exercise LONG ANSWERS TYPE QUESTIONS|6 Videos

  • SETS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|14 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

  • STATISTICS

    NCERT EXEMPLAR|Exercise FILLERS|7 Videos

Similar Questions

Explore conceptually related problems

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For all sets A, B and C, if A sub B , then A uu C sub B uu C .

For all sets A, B and C, A - (B - C) = (A - B) - C .

If A sub B , then A cup B = ?

If A sub B and A sup C then A nn B nn C= "_______" .

If A sub B , then A cap B = ?

Show that A sub B then C- B sub C- A

For any two sets A and B, prove that B sub A uu B