Question

category: homework current score: 45/100 points submit assignme current learning objective: using notations to specify domain and range question 14 practice similar questions score: 0 of 3 points write the set \\( \\{ x | x \
eq - 1 \\} \\) using interval notation. (type \uu\ to denote \\( \cup \\). type \-oo\ to denote \\( - \infty \\) and \+oo\ to denote \\( + \infty \\).) your answer: \\( ( \infty, - 1 ) u u ( - 1, + \infty ) \\) incorrect! we kindly recommend reviewing the using notations to specify domain and range, or alternatively, you may engage in a discussion with mathgpt for a comprehensive explanation.

Explanation:

Step1: Analyze the set

The set $\{x|x
eq - 1\}$ means all real numbers except $x = - 1$.

Step2: Write in interval notation

In interval notation, all real numbers less than $-1$ is $(-\infty,-1)$ and all real numbers greater than $-1$ is $(-1,\infty)$. Since we have two intervals, we use the union symbol $\cup$.

Answer:

$(-\infty,-1)\cup(-1,\infty)$