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MAT2611 EXAM PACK 2023 LATEST QUESTIONS AND ANSWERS
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160

May 2025

2024/2025

A+
MAT2611 EXAM PACK 2023 LATEST QUESTIONS AND ANSWERSProblem 1. Answer Exercise 2.22 from Addendum C. [10 marks] Solution 1. The power set P(A) of a set A is the set of all subsets of A, i.e. we have T ∈ P(A) ⇔ T ⊆ A. Since ∅ ⊆ A (always, Why?and A ⊆ A always, the set P(A) always has at least the members ∅) and A, always. As for example, since T ⊆ ∅ ⇔ T = ∅, we have: P(∅) = {∅}. Similarly, since T ⊆ {∅} if and only if either T = ∅ or else T = {∅}, we have...
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