Answer :

To solve the inequality [tex]\(-4s - 9 < -2s - 6\)[/tex], follow these steps:

1. Get all the [tex]\(s\)[/tex] terms on one side of the inequality:

Start by adding [tex]\(4s\)[/tex] to both sides to eliminate the [tex]\(-4s\)[/tex] on the left side:
[tex]\[
-4s + 4s - 9 < -2s + 4s - 6
\][/tex]
This simplifies to:
[tex]\[
-9 < 2s - 6
\][/tex]

2. Isolate the [tex]\(s\)[/tex] term:

Next, add [tex]\(6\)[/tex] to both sides to move the constant term [tex]\(-6\)[/tex] from the right side:
[tex]\[
-9 + 6 < 2s - 6 + 6
\][/tex]
This simplifies to:
[tex]\[
-3 < 2s
\][/tex]

3. Solve for [tex]\(s\)[/tex]:

Divide both sides by [tex]\(2\)[/tex] to solve for [tex]\(s\)[/tex]:
[tex]\[
\frac{-3}{2} < s
\][/tex]

So, the solution in its simplest form is:
[tex]\[
s > -\frac{3}{2}
\][/tex]
This means [tex]\(s\)[/tex] is greater than [tex]\(-1.5\)[/tex].

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Rewritten by : Barada