Answer :

Let's solve the inequality step-by-step:

We start with the inequality:
[tex]\[
-8s + 4s + 6 < 3s + 6
\][/tex]

1. Combine like terms on the left side:

[tex]\(-8s + 4s\)[/tex] simplifies to [tex]\(-4s\)[/tex], so the inequality becomes:
[tex]\[
-4s + 6 < 3s + 6
\][/tex]

2. Subtract 6 from both sides to eliminate the constant on the left side:

[tex]\[
-4s + 6 - 6 < 3s + 6 - 6
\][/tex]
Simplifying gives:
[tex]\[
-4s < 3s
\][/tex]

3. Subtract [tex]\(3s\)[/tex] from both sides to get all the [tex]\(s\)[/tex] terms on one side:

[tex]\[
-4s - 3s < 3s - 3s
\][/tex]
Simplifying gives:
[tex]\[
-7s < 0
\][/tex]

4. Divide both sides by [tex]\(-7\)[/tex]:

Remember, dividing by a negative number reverses the inequality sign:
[tex]\[
s > 0
\][/tex]

So, the solution to the inequality is:
[tex]\[ s > 0 \][/tex]

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