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CBMA2103 Discrete Mathematics

tag 1 Download 1 Pages / 1 Words tag 08-06-2021

Question:

Draw a Venn diagram showing the relationship between the sets. Label each element. Then, by using the Venn Diagram, determine the element of Set  and Set . Show the shaded area of the Venn Diagram.

If we define a relation R from C to C by  (c, c) ∈ R, if , then  determine the element of relation R and draw the digraph of the relation R. Is  the  relation R reflexive,  symmetric or transitive Justify your answers.

Given

If every printer is busy then there is a job in the queue.

where B(p) is “Printer p is busy,” and Q(j) is “Print job j is queued.”

Write the statement symbolically by using the given definition of the propositions, the quantifiers and the connectives.

Determine the converse, the contrapositive and its simplification if any and the negation and its simplification if any, of the statement (i) in symbols and words.

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