To solve the inequality [tex]\(3a > a + 8\)[/tex], follow these steps:
1. Isolate the variable on one side:
First, we need to get all the terms involving [tex]\(a\)[/tex] on one side of the inequality and the constants on the other side.
Start by subtracting [tex]\(a\)[/tex] from both sides of the inequality:
[tex]\[
3a - a > a + 8 - a
\][/tex]
This simplifies to:
[tex]\[
2a > 8
\][/tex]
2. Solve for [tex]\(a\)[/tex]:
Next, we need to solve for [tex]\(a\)[/tex]. To do this, divide both sides of the inequality by 2:
[tex]\[
\frac{2a}{2} > \frac{8}{2}
\][/tex]
This simplifies to:
[tex]\[
a > 4
\][/tex]
Therefore, the solution to the inequality [tex]\(3a > a + 8\)[/tex] is [tex]\(a > 4\)[/tex].
So, the correct answer from the given options is:
[tex]\[
a > 4
\][/tex]
