Let's first solve the inequality given in the statement:
\[
- 2 + 4 ≤ 18 \]
Simplifying the left side:
\[ 2 ≤ 18 \]
This inequality is true since 2 is less than 18. However, there is no variable \(x\) in this inequality, so it doesn't impose any condition on \(x\).
Now, let's analyze the options provided:
- \(x \geq -7\)
- \(x \leq -7\)
- \(x > 7\)
Since the original inequality is always true, it does not restrict the value of \(x\) in any way. Therefore, any value of \(x\) is acceptable, including:
- \(x \geq -7\)
- \(x \leq -7\)
- \(x > 7\)
In conclusion, all values of \(x\) are solutions; hence, none of the specific options can be ruled out solely based on the original inequality.
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