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question express the interval using two different representations. (-7,…

Question

question
express the interval using two different representations.
(-7,2)
answer attempt 1 out of 2
inequality notation: (.)
number line:

Explanation:

Step1: Recall interval - inequality relation

The open - interval \((a,b)\) means \(a < x < b\). Here \(a=-7\) and \(b = 2\).

Step2: Write inequality

\(-7

Answer:

Inequality Notation: \(-7 < x < 2\)
Number Line: An open - circle at \(-7\), an open - circle at \(2\), and a line segment connecting them.