Question

Solve the following inequality in two ways and make a claim as to which

method is more efficient.
1/4 (8n - 12) < n + 2

Answer 1

The solution of the given inequality n < 5

Explanation:

Explanation:-

Given inequality

`(1)/(4) (8 n -12 ) < n +2`

Step(i):-

Cross multiplication '4' we get

8 n - 12 < 4 ( n +2)

8 n - 12 < 4 n + 4×2

8 n - 12 < 4 n +8

Subtracting '4 n ' on both sides, we get

8 n - 4 n - 12 < 4 n - 4 n +8

4 n - 12 < 8

Step(ii):-

Adding ' 12 ' on both sides , we get

4 n -12 + 12 < 8 + 12

4 n < 20

Dividing "4' on both sides , we get

n < 5

The solution is n < 5

Conclusion:-

The solution of the given inequality n < 5