Need help with explanation for following True or False Statements Let A and B be sets (also please explain how the if and only if would work with these True False Questions in helping solve) (I'm pretty sure a is T, b is false and c is false but need help with understanding why more deeply with these Set Theory related questions) a. For all x, x element A then x element B if and only if A subset B b. For all x, x not element A then x not element B if and only if A not subset B c. A != B if and only if A not subset B and B not subset A

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A: Given A ⊂ B

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A: Definition

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Q: The subject is on Elements of Set Theory.I really need help and explanation.

A: Given that,

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A: Given: Venn diagram of given information is given below:

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A: As you asked for d, e and f only.

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A: Given that A=2,3,5, B={2,5,6},C={5,6,2} ,D={6}. The universal set is  U={1,2,3,4,5,6,7,8}

Q: Subject: Elements of Set Theory Greetings,I am really having difficult time with these problems that…

A: (a)We have to prove: