Question

Solve the inequality: - 2 + 4 ≤ 18

x ≥ - 7
x ≤ - 7
x > 7

Answer 1

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:

1. \(x \geq -7\)
2. \(x \leq -7\)
3. \(x > 7\)

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.