Question

what is an alternative way to write the solutions for the compound inequality $x > 8$ or $x < 2$? this inequality is already written in the best way. $8 < x < 2$ $2 < x < 8$ $2 > x > 8$

Explanation:

Step1: Analyze each option

• Option 1: Consider if the original inequality can be rewritten.
• Option 2: Analyze \(8 < x < 2\). Since \(8>2\), this is impossible.
• Option 3: Analyze \(2 < x < 8\). This represents \(x\) between \(2\) and \(8\), which is not the same as \(x>8\) or \(x < 2\).
• Option 4: Analyze \(2>x>8\). Since \(2 < 8\), this is impossible.

Answer:

This inequality is already written in the best way.