To solve the inequality [tex]\(2x - 8 < 12\)[/tex], follow these steps:
1. Isolate the term involving [tex]\(x\)[/tex]:
- Start by adding 8 to both sides of the inequality to get rid of the constant term on the left side:
[tex]\[
2x - 8 + 8 < 12 + 8
\][/tex]
- This simplifies to:
[tex]\[
2x < 20
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
- Next, divide both sides of the inequality by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{2x}{2} < \frac{20}{2}
\][/tex]
- This simplifies to:
[tex]\[
x < 10
\][/tex]
Therefore, the solution to the inequality [tex]\(2x - 8 < 12\)[/tex] is [tex]\(x < 10\)[/tex].
From the given options, the correct choice is:
[tex]\[
x < 10
\][/tex]
