Show that the following four conditions are equivalent:(i)`Asub B` (ii) `A B =varphi` (iii) `A uuB = B` (iv) `A nnB = A`

Show that the following four conditions are equivalent : (i) A sub B (ii) A - B = phi (iii) A cup B = B (iv) A cap B = A .

Show that the following four conditions are equivalent: (i) quad A sub B (ii) A-B=phi (iii) A uu B=BA nn B=A

FOR ANY TWO SETS Aa n dB , show that the following statements are equivalent: AsubB (ii) A-B=varphi (iii) AuuB=B (iv) AnnB=Adot

if set B ={1,4,8,16,32,64} then which of the following is true? If not then mention why? (i) 4 in B (ii) 16 in B (iii) 2 in B ( iv) 164 in B

Draw the Venn diagram for each of the following : (i) (A cap B)' (ii) (A cup B)' (iii) A' cup B' (iv) A' cap B' .

If sets A = (-3, 2] and B = (-1, 5], then find the following sets (i) A cap B (ii) A cup B (iii) A - B (iv) B-A

Let ** be the binary operation defined on Q . Find which of the following binary operations are commutative (i) a ** b=a-b, AA a,b in Q (ii) a ** b=a^(2)+b^(2), AA a,b in Q (iii) a ** b=a+ab, AA a,b in Q (iv) a ** b=(a-b)^(2), AA a,b in Q

Let A and B are two matrices then which of the following is always true? (i) A+B=B+A (ii)A+B=B-A (iii)A-B=B-A (iv) AB=BA

If A and B are two independent events and P(A)=0.2, P(B)=0.3 , then find the values of the following: (i) P (A and B) (ii) P (A and not B) (iii) P (A or B) (iv) P (none of A and B)