Question #26c2d

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Answer 1 · 2016-09-27T19:45:21

See the Explanation>

Ans. to Q(1) : To verify whether a set $A$ $A$ is a subset of another

set $B$ $B$ , we have to check that, each & every element of the set

$A$ $A$ is also an element of the set $B$ $B$ .

Here, the set $A$ $A$ has two elements, namely, $1 & 2$ $1 & 2$ , and we see

that they are also the elements of the set B.

Accordingly, $A \subset B$ $A sub B$ .

Ans. to Q(2) :

The complement of $B$ $B$ (in $NN$ ), denoted by $B'$ is the set of

all those elements in NN which are not in $B$ .

Hence, $B'={3,4,5,... ... ... ...}$ .

We may write, $B'=NN-{1,2}$ .

Ans. to Q(3) :

Indeed, $A=B iff A sub B,and, B sub A$ .

In fact, this is the Defn. of Equality of Sets. #