Question: please help me solve the following proofs with the methods mentioned above each of them. #1. Prove by reduction to absurdity that A B

please help me solve the following proofs with the methods mentioned above each of them.

#1. Prove by reduction to absurdity that

A ⊆ B and C' ⊆ B' , then A ⊆ C

#2. Prove by contraposition that

B' ⊆ ( A ∩ B)'

#3. Prove using universal proof that

( A ∩ B) ⊆ (A ∪ B)

(this is for a logic course, not a math course, if that changes anything)

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