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Prove or disprove following by giving examples: (a) If X ⊂ Y and X ⊂ Z,...

Prove or disprove following by giving examples:

(a) If X ⊂ Y and X ⊂ Z, then X ⊂ Y ∩ Z
(b) If X ⊆ Y and Y ⊆ Z, then X ⊆ Z

(c) If X ∈ Y and Y ∈ Z, then X ∈ Z

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