express the interval shown on the number line in interval notation.\nanswer attempt 1 out of 2\ninterval…

express the interval shown on the number line in interval notation.\nanswer attempt 1 out of 2\ninterval notation:

express the interval shown on the number line in interval notation.\nanswer attempt 1 out of 2\ninterval notation:

Answer

Explanation:

Step1: Identify the endpoint value

The endpoint on the number - line is at $x = - 6$.

Step2: Determine the type of interval

The arrow points to the left and the dot at $x=-6$ is filled, indicating that the interval includes $-6$ and all numbers less than $-6$.

Step3: Write in interval notation

We use negative infinity $(-\infty)$ and a square - bracket for the included endpoint. The interval notation is $(-\infty,-6]$.

Answer:

$(-\infty,-6]$