Question

write the set builder form of A union B, A intersection B, A-B ,B-A ?​

Answer 1

Answer:

In set builder form,

AUB={x:x€A or x€B}

A intersection B={x:x€A and x€B}

A-B={x:x€A and x does not belong to B}

B-A={x:x€B and x does not belong to A}

Here € symbol indicate belong to.

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Answer 2

In the set builder technique, we will not list the items; instead, we will write the representative element using a variable, a vertical line or colon, and the general attribute of the same representative element.

• The set builder form of A U B is {x: x⊂ A or x⊂ B}, which reads as "x belongs to A or B or both."

• The set builder form of A ∩ B is {x: x ⊂ A and x⊂ B}, which reads as," x belongs to A and B."
• The set builder form of A - B is {x: x ⊂ A and x⊄ B}, which reads as "x belongs to A but not to B."
• The set builder form of B - A is the exact opposite of A - B which is {x: x⊂ B and x⊄ A}, which reads as "x belongs to B but not to A."

The above is the set builder form of some of the set forms.