AJ solved the absolute value inequality |x|>1 . He used the "or rule," which meant that his solution would have two parts. In interval notation, the first part of the solution AJ found was (−∞,−1) . Find the second part of the solution.(1 point) The solution to |x|>1 is (−∞,−1)∪ ().

Answer 1

To solve the inequality \( |x| > 1 \), we can break it down into two separate cases based on the properties of absolute value.

1. \( x > 1 \)
2. \( x < -1 \) (which AJ found as the first part: \( (-\infty, -1) \))

The first part of the solution represents the condition where \( x \) is greater than 1.

Therefore, the second part of the solution is:

\[ (1, \infty) \]

In interval notation, the complete solution to the inequality \( |x| > 1 \) is:

\[ (-\infty, -1) \cup (1, \infty) \]