Question

|3y+7| = |2y-1| for all real y

Answer 1

The book says it is equivalent to either 3y+7=2y-1 or 3y+7=-(2y-1).

Answer 2

Why isn't it ±(3y+7)=±(2y-1)

Answer 3

I know the answer, that's not what I care about.

Answer 4

you mean 3y+7=2y-1 and 3y+7=-(2y-1)?

Answer 5

not "or"

Answer 6

Sure.

Answer 7

(I'm pretty sure it is or, but I'd like to see where you will go with this.)

Answer 8

never mind. It's more easy than that

Answer 9

if the absolute values are equal it means that the actual values are either same sign either oposite sign. That's it

Answer 10

@DanielHendrycks

Answer 11

Understood.

Answer 12

happy to help