Question 474165
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Add -10 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4|2y\ -\ 7|\ =\ -1]


Multiply both sides by *[tex \Large \frac{1}{4}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |2y\ -\ 7|\ =\ -\frac{1}{4}]


But we know that *[tex \Large |x|\ \geq\ 0\ \forall\ x\ \in\ \mathbb{R}]


Hence


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \not\exists\ y\ \ ] such that *[tex \LARGE \ |2y\ -\ 7| <\ 0]


Therefore  your solution set is the null set.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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