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MAD 2104 Miami Dade College Discrete Math Problems

MAD 2104 Miami Dade College Discrete Math Problems

Question Description

Course: MAD2104 Discrete Math Homework Problems

Instructions:Please answer the following answers fully, highlight the solution tothe problem. MUST show work/ steps and justify your answers.

Deadline: Need this done ASAP.

Homework Problems

Question One:

– Is A ? B = Ac ? Bc? Justify, if yes provide evidence OR if no, provide a counter.

(Word format to this question is: “Is A symmetric difference B equal to A complement symmetric difference B complement?)

Question Two: (Part A through F)

A= N (a into natural numbers)

Exhibit an axample of a binary realtion R from A into A such that:

(A) R Relefective & Symmetric

(B) R Relefective but not symmetric

(C) R symmetric but not reflective

(D) R Relefective but not transitive

(E) R symmetric but not transitive

(F) R Satifies the three problems: “So R at the same time is reflective, symmetric, and transitive”

Question Three:

– Let “R” be an equivalence relation from “A” to “A” and let (n,m) be two elements in “A”.

– Prove that if (n,m) are related, class of “n” is the same as class of “m”.

– Prove that if (n,m) are not related there is no intersection.

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