Correct Answer: Option A

Explanation

From the constraint y < 3 and y > 0, the possible values for y are 1 and 2

When y = 1, 3y + 5x \(\leq\) 15

3 + 5x  \(\leq\) 15 ⇒ 5x  \(\leq\) 12 ⇒ 2.4

since x must be an integer greater than 0 but less than or equal to 2.4, the possible values of x are 1 and 2

When y = 2,  3y + 5x \(\leq\) 15 ⇒ 6 + 5x \(\leq\) 15 ⇒ 6 \(\leq\) 15 - 6 = 11 ⇒ x = 2.2

Again, Since x must be an integer greater than 0 and less than or equal to 2.2, the only possible integer value of x is 1

So, the pairs (x, y) that satisfy all the conditions are ( 1, 1), (1, 2) and (2, 1).

There is an explanation video available below.

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