Question

31. a) Find whether the sets are finite or infinite
i) A={ x: XE W, and x<5}
ii) X={ 5.10.15.............}
b) Are A={ x:X EN,4 < X < 8} and B={.4,5,6 } equal set.​

Answer 1

Step-by-step explanation:

Given that :-

(i)A={ x: XE W, and x<5}

=>A={0,1,2,3,4}

A is a finite set.

Since the elements of A are countable.

(ii)X={ 5.10.15.............}

The elements of X are uncountable

X is an infinite set.

(iii)A={ x:X EN,4 < X < 8} and B={4,5,6 }

=>A={5,6} and B={4,5,6}

The elements of A are not equal to the elements of B ( 4 is not in A ) .i.e.

The elements of A are in B but the elements of B are not in A.

So, the sets A and B are not equal sets

Answer 2

Answer:

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