In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If `AsubB\ a n d\ x !in B ,\ t h e n\ x !in Adot`

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If AsubB\ a n d\ B in C ,\ t h e n\ A in Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If x in A\ a n d\ A in B ,\ t h e n\ x in Bdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A ⊄ B \ a n d\ B⊄ C ,\ t h e n\ A ⊄ Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If x∈A and A∈B, then x∈B

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A subset B\ a n d\ B subset C ,\ t h e n\ A subset Cdot

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.(i) If x in A a n d A in B , t h e n x in B (ii) If A sub B a n d B in C then A in C

State in each case, whether the given statement is true or false : 0 in phi

Mention whether the following statements are true (T) or false (F).

State whether each of the following statements are true or false. If the statement is false re-write the given statement correctly: (i) If p={m , n}a n d\ Q={n , m},\ t h e n\ PxxQ={(m , n),\ (n , m)} (ii) If A and B are non empty sets then AxxB is a non empty set of ordered pairs (x , y) such that x in B\ a n d\ y in Adot (iii) If A={1,2},\ B={3,4},\ t h e n\ Axx(Bnnvarphi)=varphidot

State in each case, whether the given statement is true or false : { x: x in W, x +5=5} is a singleton set.