Decide the numbers to which number sets they belong to and does not belong to and express with correct symbols.

Question

Some numbers are given below. Decide the numbers to which number sets they belong to and does not belong to and express with correct symbols.

i) 1

ii) 0

iii) -4

iv) 5/6

v) \(1.\bar{3}\)

vi) √2

vii) log 2

viii) 0.03

ix) π

x) √-4

Answer 1

i) 1 ∈ N

ii) 0 ∈ W and 0 ∉ N

iii) – 4 ∈ I and – 4 ∉ N

iv) 5/6 ∈ Q and 5/6 ∉ Z

v) \(1.\bar{3}\) ∉ N and \(1.\bar{3}\) ∉ Z

vi) √2 ∈ S and √2 ∉ Q

vii) log 2 ∉ N

viii) 0.03 ∉ Q

ix) π ∉ Z

x) √-4 ∉ Q and √-4 ∈ C