Question

The set P = { x / x ∈ z, -1 < x <1} is a ..................

a) single ton set b) power set
c) Null set d) subset​

Answer 1

Answer:

power set

Step-by-step explanation:

hope it will help you

Answer 2

The set P = { x / x ∈ Z , - 1 < x < 1 } is a singleton set

Given :

The set P = { x / x ∈ Z , - 1 < x < 1 }

To find :

The set P = { x / x ∈ Z , - 1 < x < 1 } is a

a) singleton set

b) power set

c) Null set

d) subset

Solution :

Step 1 of 3 :

Write down the given set

Here the given set is

P = { x / x ∈ Z , - 1 < x < 1 }

Step 2 of 3 :

Find the elements of the set

Here Z is stands for set of integers

We know that between - 1 and 1 there is only integer 0

∴ P = { x / x ∈ Z , - 1 < x < 1 } = { 0 }

Step 3 of 3 :

Choose the correct option

P = { x / x ∈ Z , - 1 < x < 1 } = { 0 }

We know that a set is said to be singleton set if it contains only one element

Since P contains only one element as 0

So P is a singleton set

Hence the correct option is a) singleton set

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