To solve the inequality [tex]\(0 > -3x - 2x\)[/tex], we need to follow a systematic approach.
1. Combine like terms: Combine the terms involving [tex]\(x\)[/tex] on the right-hand side.
[tex]\[
0 > -3x - 2x
\][/tex]
[tex]\[
0 > -5x
\][/tex]
2. Isolate [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to divide both sides of the inequality by [tex]\(-5\)[/tex]. It's important to remember that when dividing or multiplying both sides of an inequality by a negative number, we must reverse the direction of the inequality.
[tex]\[
\frac{0}{-5} < x
\][/tex]
[tex]\[
0 < x
\][/tex]
[tex]\[
x > 0
\][/tex]
Hence, the solution to the inequality [tex]\(0 > -3x - 2x\)[/tex] is [tex]\(x > 0\)[/tex].
So, the best answer is:
D. [tex]\(x > 0\)[/tex]
