find-the-value-of-b-and-B-U-A-B-if-U-1-2-3-4-5-6-7-8-9-10-A-2-4-5-6-B-1-5-8-9-is-a-unoin-

Question Number 7323 by rohit meena last updated on 23/Aug/16

f i n d t h e v a l u e o f

Δ^{'} Λ b a n d (B^{'} U A) Λ B

i f U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {2, 4, 5, 6}

B = {1, 5, 8, 9}

Λ i s a u n o i n

Commented by rohit meena last updated on 23/Aug/16

a n s w e r p l e a s e

Commented by Rasheed Soomro last updated on 24/Aug/16

W h a t i s Δ ?

Commented by rohit meena last updated on 24/Aug/16

A h a i

Commented by rohit meena last updated on 24/Aug/16

A h a i

Answered by Rasheed Soomro last updated on 24/Aug/16

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 5, 6}, B = {1, 5, 8, 9}

(i) A^{'} \cap B (i i) (B^{'} \cup A) \cap B

- - - - - - - - - - - - - - - - - - - - - - - - - -

A^{'} \cap B = (U - A) \cap B

= ({1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {2, 4, 5, 6}) \cap {1, 5, 8, 9}

= {1, 3, 7, 8, 9, 10} \cap {1, 5, 8, 9}

= {1, 8, 9}

(B^{'} \cup A) \cap B

You can't use 'macro parameter character #' in math mode

(B^{'} \cup A) \cap B = (B^{'} \cap B) \cup (A \cap B) [\cap i s r i g h t - d i s t r i b u t i v e o v e r \cup]

= ϕ \cup (A \cap B) [B^{'} \cap B = ϕ]

= A \cap B

= {2, 4, 5, 6} \cap {1, 5, 8, 9}

= {5}

You can't use 'macro parameter character #' in math mode

B^{'} = U - B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {1, 5, 8, 9}

= {2, 3, 4, 6, 7, 10}

(B^{'} \cup A) \cap B = ({2, 3, 4, 6, 7, 10} \cup {2, 4, 5, 6}) \cap {1, 5, 8, 9}

= {2, 3, 4, 5, 6, 7, 10} \cap {1, 5, 8, 9}

= {5}