Let's solve the inequality provided:
[tex]\[
15 < 4 + x
\][/tex]
1. Isolate the variable [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], we need to remove the constant term on the right-hand side of the inequality. We do this by subtracting 4 from both sides of the inequality.
[tex]\[
15 - 4 < 4 + x - 4
\][/tex]
2. Simplify the inequality:
Simplify both sides of the inequality after subtraction.
[tex]\[
11 < x
\][/tex]
This can also be written as:
[tex]\[
x > 11
\][/tex]
Therefore, the solution to the inequality [tex]\( 15 < 4 + x \)[/tex] is:
[tex]\[
x > 11
\][/tex]
The correct option is:
C. [tex]\( x > 11 \)[/tex]
