Question

7.

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 fraction that may not be represented as an integer. Since | x| must be an integer, 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.


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.


The statement is false. There is a 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, there is no solution.

Explanation:

6|x| + 25 = 15

Subtract 25 from each side

6|x| + 25-25 = 15-25

6|x| = -10

Divide by 6

6|x| /6 = -10/6

|x| = -5/3

There is no solution because the absolute value must be greater than or equal to zero. This equation has it negative.