Question

9. A is the set of all-natural numbers and = {(, ) ℎ ℎ − 5} Which type of relation is it?

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Answer 1

Answer:

Step-by-step explanation:

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(i) The set of all natural numbers i.e., the set of all positive ... of listing all elements of a set, we write the set by some ... 1 2 3 and let R={(, ),( , ),. 1 2 2 2 ( , ),3 1 ... (b) 2. 5 x −. (c) x −. 5. 2. (d) x. 2. 5. 2. +. Sets, Relations and Functions. 11. H. E. T.

G.C.D of a and a is a

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=2.

Hence, R is not reflexive.

G.C.D. of a and b is 2 and G.C.D of b and a is also 2.

Hence, R is symmetric.

For transitive, take an example: a=4,b=6,c=16

G.C.D of a and b is 2 and G.C.D. of b and c is 2. But, G.C.D. of a and c is 4

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=2

Hence, R is not transitive.