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Elanso [62]
3 years ago
11

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

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

The solution of the given inequality  n < 5

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given inequality

                     \frac{1}{4} (8 n -12 ) < n +2

<u><em>Step(i)</em></u>:-

 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

<u><em>Step(ii):-</em></u>

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

<u><em>Conclusion:-</em></u>

The solution of the given inequality  n < 5

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