Question

Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for the following values of a, b and c.

a = 12, b = −4, c = 2

Answer 1

a = 12, b = −4, c = 2

L.H.S = a ÷ (b + c)

= 12 ÷ (−4 + 2)

= 12 ÷ (−2)

= −6

R.H.S = (a ÷ b) + (a ÷ c)

= [12 ÷ (−4)] + [12 ÷ 2]

= −3 + 6

= 3

Hence, a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)