Question

which of the following are empty set ? why ? i ) P = { p | p is a natural number smaller than zero } ii ) Q = {x | x 2 = 4 } iii ) R = {x |3x - 2 = 0 , x ∈ N } step by step EXPLANATION please.​

Answer 1

Answer:

Question 3:

Which of the following are empty sets ? why ?

( i ) A = { a | a is a natural number smaller than zero.}

( ii ) B = { x | x 2 = 0}

( iii ) C = { x | 5 x - 2 = 0, x∈N}

ANSWER:

(i) A = {a | a is a natural number smaller than zero.} = {}

So, A is an empty set.

(ii) B = {x | x2 = 0} = {0}

So, B is not an empty set.

(iii) C = {x | 5x − 2 = 0, x∈N} = {}

So, C is an empty set.