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.
Accepted Solution
A:
Answer:BStep-by-step explanation:Lets start solving until we get stuck, 6|x|+25=15Subtract 25 from both sides6|x|+25-25=15-25Subtract6|x|=-10Divide both sides by 66|x|/6=-10/6Divide|x|=-10/6We 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.