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Answer

↓Steps Explained:↓

Prove the DeMorgan Law:

A^CUB^C

DeMorgan Law Identity

(A ∩ B)^C = A^C U B^C

Define x

Let x be an element of (A ∩ B)^C, x ∈ (A ∩ B)^C

Simplify

x ∉ (A ∩ B)

x ∉ A or x ∉ B

x ∈ A^C or x ∈ B^C