Question

5. Explain why the equation 6| x | + 25 = 15 has no solution?

Answer 1

When one solves, they arrive at a step where |x| is equal to a negative number. ... Since x can never be negative inside of the absolute value bars, there is no solution

Explanation:

Answer 2

`6|x|+25=15\ \ \ |-25\\\\6|x|=-10\ \ \ |:6\\\\|x|=-(5)/(3) < 0\\\\NO\ SOLUTION\to x\in\O`


`\text{For any}\ x\in\mathbb{R}\ \text{we have}\ |x|\geq0`