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If A = {2, 4, 6, 9} and B = {4, 6, 18, 27, 54}, a ∈ A, b ∈ B, find the set of ordered pairs such that 'a' is factor of 'b' and a < b. page (13)a.(4, 18)b.(6, 54)c.(6, 27)d.(18, 6)

Question

If A = {2, 4, 6, 9} and B = {4, 6, 18, 27, 54}, a ∈ A, b ∈ B, find the set of ordered pairs such that 'a' is factor of 'b' and a < b. page (13)a.(4, 18)b.(6, 54)c.(6, 27)d.(18, 6)

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Solution

The set of ordered pairs where 'a' is a factor of 'b' and a < b, given A = {2, 4, 6, 9} and B = {4, 6, 18, 27, 54}, is as follows:

a. (2, 4) b. (2, 6) c. (2, 18) d. (2, 54) e. (4, 6) f. (4, 18) g. (4, 54) h. (6, 18) i. (6, 54)

Note: The pairs (4, 18), (6, 54), and (6, 27) are not valid because 4 is not a factor of 18, and 6 is not a factor of 27. The pair (18, 6) is not valid because 18 is not less than 6.

This problem has been solved

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