Question

If A={x:x is factor of 12} B={x:x is prime factor of 12} then find 1.) A - B 2.) B - A 3.)Is A - B = B - A?​

Answer 1

so I don't no plz ask again

Answer 2

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FORMULA TO BE IMPLEMENTED

DIFFERENCE

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

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

GIVEN

• A={ x : x is factor of 12 }
• B={ x : x is prime factor of 12 }

TO DETERMINE

• A - B
• B - A
• Is A - B = B - A

CALCULATION

The factors of 12 are 1, 2, 3, 4, 6, 12

The prime factors of 12 are 2, 3

So

$\sf{A = \{ \: 1, 2, 3, 4, 6, 12 \}}$

$\sf{B= \{ \: 2, 3 \}}$

So

$\sf{A - B= \{ \: 1, 4, 6, 12 \}}$

Since every element of B are in A

So

$\sf{ B -A \: = \phi}$

Hence

$\sf{ A - B \: \ne \: B - A \: }$

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LEARN MORE FROM BRAINLY

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