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)∪ (

Question

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)∪ (

GPT-4o mini · Answer

To solve the absolute value inequality $|x| > 1$, we interpret it as meaning that $x$ is either greater than 1 or less than -1. Thus, we have two cases: 1. $x > 1$ 2. $x < -1$ The first part of the solution provided by AJ is $(-\infty, -1)$, which corresponds to the second case. The second part of the solution corresponds to the first case where $x > 1$. In interval notation, this is represented as $(1, \infty)$. Thus, the complete solution to $|x| > 1$ in interval notation is: $$ (-\infty, -1) \cup (1, \infty) $$ So, the answer to your question is: The solution to $|x| > 1$ is $(-\infty, -1) \cup (1, \infty)$.