Home
Class 11
MATHS
If A = {1,2,3,4},B={1,2,3} and C={2,4}, ...

If `A = {1,2,3,4},B={1,2,3} and C={2,4}`, the find all sets X such that
(i) `XsubBand XsubC`
(ii) `X sub and X cancel(sub)B`.

Text Solution

Verified by Experts

`P(B)={phi,{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3}}`
and `P(C)={phi,{2},{4},{2,4}}`
`:. X = phi,{2}`.
(ii) `P(A)={phi,{1},{2},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}}`
`:. X={4},{1,4},{2,4},{3,4},{1,2,4},{1,3,4},{2,3,4},{2,3,4},{1,2,3,4}}`.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1A|7 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1B|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

If A = {1,2,3,4},B={2,3,4} and C={1,3} , then find the set X such that : (i) X subB and X sub C (ii) X sub B and X cancel(sub)C (iii) X subA, X subB and X sub C .

Let A={1,2,3,5},B={1,2,3}andC={1,2,5}. Find all the sets X satisfying {:((i),X subA","X!inB,(ii),XsubA","X!inC),((iii),XsubB","XneB","X!inC,(iv),XsubA","XsubB","XsubC):}

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

if A=[{:(3,-2),(7,1):}]and B=[{:(2,3),(-1,4):}], then find (i) A+B (ii) A-2B

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 .

Consider the sets of A={1,4,3,2} and B={1,2,3,4} and C={1,5,3,7} and C={1,5,3,7} and insert the symbol subset or subseteq between each of the following pair or set. (i) A"__"B (ii) A"__"C (iii) A"__"B (iv) B"__"A

If A=[[2,3,4],[-3,0,2]], B=[[3,-4,-5],[1,2,1]] and C=[[5,-1,2],[7,0,3]] , find the matrix X such that 2A+3B=X+C

Let A ={1,2,{3,4},5} . Which of the following statements are incorrect and why ? (i) {3,4} subA (ii) {3,4} in A (iii) {{3,4}}sub A (iv) 1 in A (v) 1 sub A (vi) {1,2,5} sub A (vii) {1,2,5} in A (viii) {1,2,3} sub A (ix) phi in A (x) phi sub A (xi) {phi} sub A .

If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to B is defined by f(x)=x+2,AA x in A , then the function f is