Question

State whether the following pair of sets are equal or not :
If they are equal write $1$, else write $0$.

M = {$x$ : $xϵW$ and $x+3<8$} and N = {$y$ : $y=2n-1$, $nϵN$ and $n<5$}.

Answer 1

Two sets are equal if they have exactly the same elements.
For Set M,
$x+3<8$
$\Rightarrow x<5$
Whole numbers less than $5$ are $1,2,3,4$
Hence, $M=\{1,2,3,4\}$
For Set N, Natural numbers less than $5$ are $1,2,3,4$
Hence, $N=\{1,3,5,7\}$ as $y=2n-1$
Since sets M and N do not have the same elements, they are not equal sets.