To solve the inequality [tex]\(2x + 2 > 10\)[/tex], follow these steps:
1. Isolate the term involving [tex]\(x\)[/tex]: Subtract 2 from both sides of the inequality.
[tex]\[
2x + 2 - 2 > 10 - 2
\][/tex]
Simplifying this, we get:
[tex]\[
2x > 8
\][/tex]
2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], divide both sides of the inequality by 2.
[tex]\[
\frac{2x}{2} > \frac{8}{2}
\][/tex]
Simplifying this, we find:
[tex]\[
x > 4
\][/tex]
Thus, the correct answer is A. [tex]\(x > 4\)[/tex].
