3y + 5x ≤ 15

Since we have been given the range of values for x and y

For y:  0 < y < 3

For x:     x > 0

When x =1, y = 1

3(1) + 5(1) ≤ 15     {the inequality is satisfied}

 When x =1, y = 2

3(2) + 5(1) ≤ 15     {the inequality is satisfied}

When x =2, y = 1

3(1) + 5(2) ≤ 15    {the inequality is satisfied}

When x =2, y = 2

3(2) + 5(2) > 15    { the inequality is not satisfied}

When x =1, y = 3

The integral values of x, y are (1,1),(1,2), (2,1)

Option D