Question

a student found the solution below for the given inequality. |x - 9| < - 4 x - 9 > 4 and x - 9 < - 4 x > 13 and x < 5 which of the following explains whether the student is correct? the student is completely correct because the student correctly wrote and solved the compound inequality. the student is partially correct because only one part of the compound inequality is written correctly. the student is partially correct because the student should have written the statements using \or\ instead of \and.\ the student is completely incorrect because there is
o solution\ to this inequality.

Explanation:

Step1: Recall absolute - value property

The absolute - value of any real number \(a\), denoted as \(|a|\), is non - negative, i.e., \(|a|\geq0\) for all real numbers \(a\). In the given inequality \(|x - 9|\lt- 4\), since the absolute - value of \(x−9\) is always non - negative, it can never be less than a negative number.

Answer:

The student is completely incorrect because there is "no solution" to this inequality.