Prove A-(BnC) = (A-B)U(A-C), explain with an example

Prove set equality by showing that for any element , if and only if .

Example:

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Step-by-step explanation:

Proof for for any element :

Assume that . Thus, and .

Since , either or (or both.)

Thus, either or (or both.)

Therefore, as required.

Proof for :

Assume that . Thus, either or (or both.)

Either way, .

Therefore, implies , as required.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet