Identify the error:

−3|x−4|−4=3
Step 1 −3|x−4|=7
Step 2 |x−4|=−73
Step 3 x=53 or x=193(1 point)
Responses

There is no error.
There is no error.

There is an error in step 2. Dividing both sides of the equation −3|x−4|=7 by −3
gets |x−4|=−37.
There is an error in step 2. Dividing both sides of the equation negative 3 Start Absolute Value x minus 4 End Absolute Value equals 7 by negative 3 gets Start Absolute Value x minus 4 End Absolute Value equals negative 3 sevenths .

There is an error in step 3. The solutions should be x=−53 or x=−193.
There is an error in step 3. The solutions should be x equals negative 5 thirds or x equals negative Start Fraction 19 over 3 End Fraction .

There is an error in step 3. The absolute value is never negative, so there is no solution.

1 answer

There is an error in step 2. Dividing both sides of the equation −3|x−4|=7 by −3 gets |x−4|=−37.