Answer :
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].
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].
