Question

A student found the solution below for the given inequality.

Answer 1

Answer:

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

Step-by-step explanation:

We are given that an inequality

$\mid {x-9}\mid$

A student found the solution of given inequality are given by

$x-9>4$ and $x-9$

$x>13 \;and\;x$

We have to find the explanation by which the student is correct.

We know that

Mod means magnitude or distance of point which is always equal or greater than 0.

$\mid{x-9}\mid\geq0$

It can never be negative .

But we have $\mid{x-9}\mid$

Hence, the inequality is not correct therefore, there is no solution to this inequality.

Answer 2

Answer:

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

Step-by-step explanation:

we have

$\left|x-9\right|$

The left side $\left|x-9\right|$ always will be greater than or equal to zero

so

The inequality always will be not true

therefore

There is no solution to this inequality.