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express the interval using two different representations. (-7,2) answer…

Question

express the interval using two different representations. (-7,2) answer attempt 1 out of 2 -,)(,,)-∞∞u<>≤≥or inequality notation: number line: submit answer

Explanation:

Step1: Understand interval notation

The interval \((-7,2)\) is an open interval. In open interval, the endpoints are not included.

Step2: Write inequality notation

For an open interval \((a,b)\), the inequality notation is \(a < x < b\). Here \(a=-7\) and \(b = 2\), so the inequality is \(-7

Answer:

Inequality Notation: \(-7 < x < 2\)

For the number - line: Place open circles (hollow dots) at \(x=-7\) and \(x = 2\), and draw a line segment connecting these two open - circles.