If a
Question:

If a ∈ [2, 4, 6, 9] and b ∈ [4, 6, 18, 27], then form the set of all ordered pairs (ab) such that a divides b and a < b.

Solution:

Given:

a ∈ [2, 4, 6, 9] and b ∈ [4, 6, 18, 27]

Here,

2 divides 4, 6 and 18 and 2 is less than all of them.

6 divides 18 and 6 and 6 is less than 18.

9 divides 18 and 27 and 9 is less than 18 and 27.

Now,

Set of all ordered pairs (ab) such that a divides b and a < b = {(2, 4), (2, 6), (2, 18), (6, 18), (9, 18), (9, 27)}

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