Find the integral values of y of which satisfy the inequalities below.

5 ≤ 3y + 2 and 3y –14 ≤ -2

The position vector of points A and B relative to the origin O are a and b respectively. Given that a = 4i + 3j and b = i + 2j, find the modulus of the vector a + b

Tap A takes one hour to fill a tank with water. If tap B takes y hours to remove the same water and both taps takes 1 ½ hours to fill the tank, find the value of y.