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------------------------------------------------ What is the solution for [tex]$9 > x - 7$[/tex]?

A. [tex]$x > 2$[/tex]
B. [tex]$x < 16$[/tex]
C. [tex]$x > 16$[/tex]
D. [tex]$x < 2$[/tex]

To solve the inequality [tex]$9 > x - 7$[/tex], follow these steps:

1. Isolate the variable: Start by getting [tex]$x$[/tex] by itself on one side of the inequality. To do this, add 7 to both sides of the inequality:

[tex]\[
9 + 7 > x - 7 + 7
\][/tex]

Simplifying gives:

[tex]\[
16 > x
\][/tex]

This can also be written as:

[tex]\[
x < 16
\][/tex]

2. Identify the solution: The inequality tells us that [tex]$x$[/tex] must be less than 16.

Looking at the given options:

- [tex]$x > 2$[/tex]
- [tex]$x < 16$[/tex]
- [tex]$x > 16$[/tex]
- [tex]$x < 2$[/tex]

The correct choice for [tex]$x$[/tex] based on our solution is [tex]$x < 16$[/tex].

Therefore, the correct solution is [tex]$x < 16$[/tex].