(c) Let A and B be both transitive relations on the set S. Prove or disprove the following: 1. An B is also transitive. 2. AB is also transitive. 3. "AB is also transitive" implies "AB is also transitive".

(c) Let $A$ and $B$ be both transitive relations on the set $S$ . Prove or disprove the following: 1. $A ? B$ is also transitive. 2. $A ? B$ is also transitive. 3. " $A ? B$ is also transitive" implies " $A ? B$ is also transitive".

Question

(c) Let A and B be both transitive relations on the set S. Prove or disprove the following: 1. An B is also transitive. 2. AB is also transitive. 3. "AB is also transitive" implies "AB is also transitive".

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(c) Let

A

and

B

be both transitive relations on the set

S

. Prove or disprove the following: 1.

A ? B

is also transitive. 2.

A ? B

is also transitive. 3. "

A ? B

is also transitive" implies "

A ? B

is also transitive".

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Solution for - (c) Let A and B be both transitive relations on the set S. Prove or disprove the following: 1. An B

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This an additional answer to - (c) Let A and B be both transitive relations on the set S. Prove or disprove the following: 1. An B

(Solved): (c) Let A and B be both transitive relations on the set S. Prove or disprove the following: 1. An B ...

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