Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2

The solution of the given inequality  n < 5

Step-by-step explanation:

Explanation:-

Given inequality

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