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?
O The student is completely correct because the student correctly wrote and solved the compound inequality.
O 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 "an-
O The student is completely incorrect because there is " no solution to this inequality.
Mark this and return

Answer 1

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

Explanation:

Since |x-9| is the absolute value, we will always get a positive number,

and all positive numbers are greater than -4, hence there is no solution to this.