Question

Explain why the equation 6|x| + 25 = 15 has no solution. When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution. 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. The statement is false. There is a solution. When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.

Answer 1

Explanation:

6|x| + 25 = 15

6|x| = 15 - 25

6|x| = -10

|x| = -
`(10)/(6)`

By definition, the absolute value of any number must be positive, hence | x| can never be negative, there is no solution.