Question

express the interval using two different representations.
answer attempt 1 out of 2
interval notation:
inequality notation:

Explanation:

Step1: Identify the endpoints

The number line has green dots at -5 and 1. Since the dots are filled (closed), the endpoints are included.

Step2: Write Interval Notation

For a closed interval with endpoints \( a \) and \( b \) (where \( a \leq b \)), the interval notation is \([a, b]\). Here, \( a = -5 \) and \( b = 1 \), so interval notation is \([-5, 1]\).

Step3: Write Inequality Notation

The inequality notation for \([-5, 1]\) is \( -5 \leq x \leq 1 \), where \( x \) is the variable representing the values in the interval.

Answer:

Interval Notation: \(\boxed{[-5, 1]}\)
Inequality Notation: \(\boxed{-5 \leq x \leq 1}\)