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In: Advanced Math

Disprove by counter-example that (? ∩ ?) ∪ (? ∩ ?) ⊆ ((? ∩ ?) ∪...

Disprove by counter-example that (? ∩ ?) ∪ (? ∩ ?) ⊆ ((? ∩ ?) ∪ ?) ∩ ?

Show by any valid method except Venn diagram that ((? ∪ ?) ∩ ?) ∩ ((? ∪ ?) ∩ ?) = ? ∩ ?

Show by universal generalization that ((? ∩ ?) ∪ ?) ∩ ? ⊆ (? ∩ ?) ∪ (? ∩ ?)

Use discrete math please and show all the work!

Thanks!

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