Home
Class 11
MATHS
If A={x:x inW,xle2},B={x:x inN,1ltxlt5 a...

If `A={x:x inW,xle2},B={x:x inN,1ltxlt5 and C={3,5}`, then find
`(i) Axx(BnnC)` (ii) `Axx(BuuC)`

Text Solution

Verified by Experts

We, have `A={x:x in W,xlt2}={0,1}`
and `B={x:x in N,1ltxlt5}`
`:. ={2,3,4}and C={3,5}`
`(i) :. BnnC={3}`
`:. Axx(BnnC)={0,1}xx{3}={(0,3),(1,3)}`
(ii) `:. (BuuC)={2,3,4,5}`
`:. Axx(BuuC)={0,1}xx{2,3,4,5}`
`={(0,2,),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|8 Videos
  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos
  • PROBABILITY

    NCERT EXEMPLAR|Exercise Matching The Columns|2 Videos
  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

If A = {x: x in W, x lt 2}, B= {x: x in N, 1 lt x lt 5}, C= {3,5} , find: (i) A xx (B nn C) (ii) A xx (B uuC)

If A={1,2,3},B={3,4}" and "C={4,5,6} then find: (i) Axx(BnnC) (ii) (AxxB)nn(AxxC) (iii) Axx(BuuC) (iv) (AxxB)uu(AxxC)

Let A={x inW:xlt2},B={x inN:1ltxle4}" and "C={3,5} . Verify that: (i) Axx(BuuC)=(AxxB)uu(AxxC) (ii) Axx(BnnC)=(AxxB)nn(AxxC) Hint A={0,1},B={2,3,4}" and "C={3,5}.

If A={a,b},B={2,3} and C={3,4} , then evaluate: (i) Axx(B nn C)" "(ii) Axx(B uu C)

If A ={1,2,3}, B={3,4} and C={4,5,6}, then find each of the following : (i) Axx(B nn C) " "(ii) (AxxB) nn (AxxC) (iii) Axx(B uu C) " "(iv) (AxxB) uu (AxxC)

Let A={x inN:x^(2)-5x+6=0},B={x inW:0lexlt2} and C={x inN:xlt3}. Verify that (i) Axx(BuuC)=(AxxB)uu(AxxC) (ii) Axx(BnnC)=(AxxB)nn(AxxC)

Let A={-3,-1},B={1,3}" and "C={3,5}. Find: (i) AxxB (ii) (AxxB)xxC (iii) BxxC Axx(BxxC)

If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

If A={1,3,5},B={3,4}" and C={2,3} , verify that : (i) Axx(BuuC)=(AxxB)uu(AxxC) (ii) Axx(BnnC)=(AxxB)nn(AxxC)

If A={x inN:xle3} and B={x inW,xlt2} , find (AxxB) and (BxxA). Is (AxxB)=(BxxA) ?