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12.03.2020 • 

Mathematics

[24 points] We wish to investigate a new type of relation which we will call Vahidean. A relation R on the set A is Vahidean if: ∀a, b, c ∈ A aRb ∧ aRc → bRc a) Explain, in English, how Transitivity and Vahideanness are different. Give an example of a Vahidean relation on {a, b, c, d} which is not transitive (draw its digraph representation). Give a counterexample that shows your relation is not transitive. b) Is the following an implication of Vahideanness? ∀a, b, c ∈ A aRb ∧ aRc → cRb Explain why or why not. c) Prove that if a relation R is Reflexive and Vahidean then R is an equivalence relation.

Ответ:

Starzdaze78

02.09.2020

Mathematics

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We have that
35 + 30s - 45t

case A) 
7⋅(5+30s−45t)---> 35+210s-315t> is not equivalent 

case B)
5(7+6s−9t)> 35+30s-45t> is equivalent to 35 + 30s - 45t

case C)
(−35−30s+45t)×(−1)> 35+30s-45t---> is equivalent to 35 + 30s - 45t

case D)
 10×(3.5+3s−4.5)> 35+30s-45>  is not  equivalent 

case E) 
( 35/2 - 15s + 45/2t) ⋅ (-2)--->-35+30s-45t---> is not  equivalent 

the answer is
B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)

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