माना की `A={x|x in R` और `x^(2)-8x +12=0}`,
`B={2,4,6}, C={x| x=2n, n in N}, D={6}` तो निम्नलिखित में सत्य और असत्य कथनों को पहचानों
(i) `A sub B`, (ii) `A sub D`, (iii) `B sub C`, (iv) `A sub C`

If B sub A , B sub C and x in A then x inC

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 .

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 .

If A ={6,7,8,9}, B={4,6,8,10} and C={x : x in N : 2 lt x le 7} , find: (i) A-B, (ii) B-C, (iii) B-(A-C), (iv) A-(B cup C) (v) B-(A cap C) , (vi) B-B

Given, A = {Triangles}, B = {Isosceles triangles}, C = {Equilateral triangles}. State whether the following are true or false. Give reasons. (i) A sub B , (ii) B sube A , (iii) C sube B , (iv) B sub A , (v) C sub A , (vi) C sube B sube A

If A={x in C : x^2=1}\ a n d\ B={x in C : x^4=1} , then write A-B\ a n d\ B-Adot

If A ={2x:x in N and 1 le x lt 4}, B= {(x+2): x in N and 2 le x lt 5} } and C = {x:x in N and 4 lt x lt 8} , find : (i) A cap B (ii) A cup B (iii) (A cup B) cap C

Let A = {1, 2, 3}, B= {- 1,0, 1,2,3} and C= {1}, D={- 1,1}. Then Verify the following : If A sub B and C sub D , then (A xxC) sub (BxxD) .

If A = { x : x = 3n + 2 , n in N , n le 6} B = { x : xis an even number natural number 4 , lt x lt 15 } and C = { x: x = 3n , n in N , n lt 8 } then find (i) A cup B (ii) A cap B (iii) A cap C (iv) B cap C Also find whether the sets A and B : A and C, B and C are disjoint or overlapping sets .