T and W are transitive relations on a set A.

Prove or disprove the following statement:

[T U (T ∩ W)] ∩ W is transitive.

**Subject Mathematics Discrete Math**

T and W are transitive relations on a set A.

Prove or disprove the following statement:

[T U (T ∩ W)] ∩ W is transitive.

Prove or disprove the following statement:

[T U (T ∩ W)] ∩ W is transitive.

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First of all, T ∩ W is also transitive as intersection of transitive relations (basic closure property)....

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