Answer :

Final answer:

In the inequality 2s - 6 < 4s + 8, after degradation and simplifying, you get: 2s - 2s - 6 < 4s - 2s + 8 -8. Dividing by 2 gives s > -7, which is the simplest solution.

Explanation:

To solve the inequality 2s - 6 < 4s + 8, first, try to get all the 's' terms on one side and all the 'constants' on the other. This can be done by subtracting '2s' from both sides, this will get you ' -6 < 2s + 8 '. Now, subtracting '8' from both sides gives you ' -14 < 2s '. Finally, to solve for s, divide both sides by '2': s > -7.

So, the solution for 's' in its simplest form is: s > -7

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