Question

How do I start this? Find all solutions of the equation: ||x-3| -5| = 1

Answer 1

Divide both sides by 5 \(|x-3|=1\div 5\)

Answer 2

\(1\div 5=.2\)

Answer 3

\(|x-3|=.2

Answer 4

Add three to both sides

Answer 5

\(|x|=3.2\)

Answer 6

So your answer is..?

Answer 7

Thanks. So |x| = 3.2, do I plug that back into the equation?

Answer 8

what??

Answer 9

that was some other answer to some other question, not this one
@DangerousJesse slept this i think

Answer 10

\[||x-3| -5| = 1\] get rid of first absolute values to give two equations
\[|x-3|-5=1\] or
\[|x-3|-5=-1\] then work with those

Answer 11

Ok much better. That looks more like what my professor was showing us. Thank you!