Question

Give examples of null set in set builder notation???

Answer 1

Hey friend here is your answer

A null set / void set / empty set is a set which contains no elements .

It is denoted by phi

Example

{X:X^2= -2}

Now this set will have no element as the square of a number cannot be negative .

Hope it helps you ✌✌

Pls mark brainliest

Answer 2

Well, how about this example:

A:={x∈N0∣x<0}A:={x∈N0∣x<0}

which denotes the set of all natural numbers smaller than zero, and since the natural numbers do not include negative numbers, above set is essentially a null set (more precisely, the empty set ∅∅).

I assume that you’re a little bit familiar with the set-builder notation, if you’re not, here is a short explanation for above example.

A:={x∈N0all natural numbers∣x<0but smaller than 0}A:={x∈N0⏞all natural numbers∣x<0⏟but smaller than 0}

You might understand it a little better by splitting the set-builder notation at the ∣∣ and analyzing both parts separately:

x∈N0x∈N0 can be understood as “take all elements of the natural numbers”, so now we have A=N0A=N0x<0x<0 can be understood as “but only those smaller than zero”. But what natural numbers are smaller than zero? Exactly, none, so we have A=∅