Question

State which of the following sets are equal.
(i) N = {1, 2, 3, 4, ....}
(ii) W = {0, 1, 2, 3, ...}
(iii) A = {x|x = 2ⁿ, n $\in$ W}
(iv) B = W $-$ {0}

Answer 1

(i) N = {1,2,3,4,...}

(ii) W = {0,1,2,3,...}

(iii) A = ( 2⁰, 2¹, 2² ,...}

(iv) B = W $-$ {0} = {1,2,3,4,...} = N

Here, N$\subseteq$B and B$\subseteq$N

Hence, we can say that N and B are equal.