Question

Solve -8 < -2n + 4, n is a natural number.

Answer 1

-8 < – 2n + 4 

Subtracting 4 on both sides 

-8 -4 < -2n + 4 – 4 

– 12 < – 2 n 

÷ by -2, we have 

\(\frac{-2n}{-2}\) < \(\frac{-12}{-2}\) [ ∵ Dividing by negative number, the inequation get reversed] 

n < 6 

Since the solutions are natural numbers which are less then 6, we have the solution as 1, 2, 3, 4 and 5.