Question

State, whether the following pairs of sets are equivalent or not:

P ={5,6,7,8} and M={$x:x\in Wandx\le 4$}

Answer 1

Step : Check whether the given pair of sets are equivalent

Given: P = P ={5,6,7,8} and

M = {$x:x\in Wandx\le 4$}

$\Rightarrow$ M = {0, 1, 2, 3, 4}

The number of elements in set P = 4
And number of elements in set M = 5
As, $4\ne 5$

The set P and M are not equivalent.

Hence, the sets P and M are not equivalent.