Question

set builder form of set (P-Q)​

Answer 1

The set builder form is

{P - Q} = {x: x ∈ P and x ∉Q}

Step-by-step explanation:

We know that

If P and Q are two sets then

Set P - Q i.e. {P - Q} is the set with all the elements of P in it and none of the elements of Q in it

Therefore, {P - Q} in set builder form will be

{P - Q} = {x: x ∈ P and x ∉Q}

Hope this answer is helpful.

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Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

DIFFERENCE

The difference of two subsets P & Q is a subset of U, denoted by P - Q and defined as

$\sf{P - Q \: } = \{ \:x : x \in P, x \notin Q \: \}$

Which is in Set builder form

EXAMPLE

If

$\sf{P = \{ \: 1,2,3,4,5,6,7 \}}$

$\sf{Q = \{ \: 4,5,7\}}$

Then

$\sf{P - Q \: = \{ \:1,2,3,6 \}} \:$

ADDITIONAL INFORMATION

A Venn Diagram is attached

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