Question: 7. Let X be a set and A P(X). (a) Show that (A)P(X) P(A). (b) Show that if Be P(X), then B - BA

7. Let X be a set and A P(X). (a) Show that

7. Let X be a set and A P(X). (a) Show that (A)P(X) P(A). (b) Show that if Be P(X), then B - BA P(B A). Hint: Remember that C = -C for all CE P(X). %3D (c) Show that every element of P(X)/P(A) may be expressed in the form D+ P(A), where De P(B\A). Hint: Use the previous part.

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