Answer
F
Work Step by Step
The correct interval notation for the inequality $x\lt-6$ is $(-\infty,-6)$. This is denoted by option F.
According to the inequality, the interval includes all values less than $-6$. Since $-6$ is not part of the interval, a parenthesis is used on its side. On the other hand, we represent all values less than $-6$ by the symbol $-\infty$. Therefore, a parenthesis is used on its side as well as parentheses are always used wherever $\infty$ is used.
