Question

(iv) A - B = A (
A intersection B.​

Answer 1

Answer:

A-B means everything in A except for anything in A∩B

A-B=A∩Bc (A intersect B complement)

choose an element x

let x∈(A-B)

therefore x∈A but x∉B

x∉B means x∈Bc

x∈A and x∈Bc

x∈(A∩Bc)

x∈(A-B)

therefore A-B=(A∩Bc)

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