Question

Check whether the following sets is empty set or non empty
A={x:x€N and 0<x<1}
B={x:x€Z and x2-1=0}​

Answer 1

$\large{ \bold{1. \: \: \: empty \: \: \: \: set}}$

$\large{ \bold{2. \: \: - 1 \: \: \: or \: \: \: + 1}} \\ \\ \large{ \bold{hence \: \: \: not \: \: \: empty \: \: \: set}}$

Answer 2

$\huge\tt\colorbox{plum}{Answer}$

A = {x : x € N and 0 < x < 1}

It is an empty set because no natural number lies between 0 and 1.

B = {x : x € N and x² - 1 = 0}

x² - 1 = 0

x² = 1

x = ± √1

x = ± 1

So it is not an empty set, it contains +1 and -1