Question

Absolute values are what I am having an issue with

Answer 1

No solution in real numbers

Explanation:

We have the following equation:

`-7-7\mleft|-2x+9\mright|=28`

We solve for x as follows:

`\begin{gathered} -7\mleft|-2x+9\mright|=28+7 \\ |-2x+9|=(35)/(-7) \\ |-2x+9|=-5 \\ x=\text{ no solutions} \end{gathered}`

Since the absolute value is always positive, the equation loses its meaning since it is equal to -5, which is not possible.

Which means that there is no solution for x in the real numbers.