Question

7. Let A = (2, 4, 6, 8, 10) and B = (x:x € W, x < 5).
(i) Find n(A) and n(B).
(ii) Are A and B equivalent sets?​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{A=\{2,4,6,8,10\}}$

$\mathsf{B=\{x|\;x\in\,W,\;x<5\}}$

$\underline{\textbf{To find:}}$

$\textsf{n(A) and n(B)}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Equivalent sets:}}$

$\textsf{Two sets A and B are said to be equivalent if}$

$\textsf{they have equal number of elements}$

$\mathsf{A=\{2,4,6,8,10\}}$

$\mathsf{B=\{0,1,2,3,4\}}$

$\implies\mathsf{n(A)=5\;\&\;n(B)=5}$

$\textsf{Since n(A)=n(B), A and B are equivalent sets}$