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Question:
what would be the intersection of x belongs to no solution and x belongs to (-infinity,-3]union [3,infinity)
Answer:

Given, x belongs to no solution

=> Let A = x ∈ Φ

Again, x belongs to (-∞,-3] U [3, ∞)

=> Let B ∈ (-∞,-3] U [3, ∞)

Now, A ∩ B = Φ  

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