solve x + 8 > 10. x > 18, x > 2, x > 18, x > 2.

1 answer

Let's solve the inequality step by step.

The original inequality is:

\[ x + 8 > 10. \]

To isolate \( x \), we subtract 8 from both sides:

\[ x > 10 - 8, \] \[ x > 2. \]

Now we also have the additional inequalities you've provided: \( x > 18 \) and \( x > 2 \).

The critical points are:

  1. \( x > 2 \)
  2. \( x > 18 \)

Since \( x > 18 \) is a stricter requirement than \( x > 2 \), the solution to the system of inequalities is simply:

\[ x > 18. \]

Thus, the final solution is:

Final Answer: \( x > 18 \)

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