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 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. The statement is false. There is a solution.

Answer 1

Answer:

B

Step-by-step explanation:

Lets start solving until we get stuck,

6|x|+25=15

Subtract 25 from both sides

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

Subtract

6|x|=-10

Divide both sides by 6

6|x|/6=-10/6

Divide

|x|=-10/6

We get stuck here, we need x to be negative but we cant have a negative x since we have absolute value. This means the answer is b.