Sure, let's solve the inequality step-by-step.
We start with the given inequality:
[tex]\[ 0 > -3x - 2x \][/tex]
First, combine the terms involving [tex]\( x \)[/tex] on the right-hand side:
[tex]\[ 0 > -5x \][/tex]
Next, we want to isolate [tex]\( x \)[/tex]. To do that, divide both sides of the inequality by [tex]\(-5\)[/tex]. Remember, when you divide or multiply an inequality by a negative number, you must reverse the inequality sign:
[tex]\[ \frac{0}{-5} < x \][/tex]
Simplify this:
[tex]\[ 0 < x \][/tex]
This simplifies to:
[tex]\[ x > 0 \][/tex]
Thus, the solution to the inequality [tex]\( 0 > -3x - 2x \)[/tex] is:
[tex]\[ x > 0 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{D. \, x > 0} \][/tex]
