Question

I have this question: Solve 2|z-2|=36 and came out with
{20,-16}. I dont think that is accurate

Answer 1

2|z-2|=36
or |z-2|=18
if z-2 >=0
then
z-2=18
or z=20
if z-2<0
then
-(z-2)=18
z=-16
so z=-16 or 20

Answer 2

that is correct, Though I don't think that answer in that way is right.

Answer 3

z-2 =18 =>z=20
OR z-2=-18=> z=-16

Answer 4

Well my only choices are
{20,-16}
{20,16}
{-20,16}
{-20,-16}

Answer 5

...normally that's how you would right a set...like domain or range. I guess it's acceptable to give your answer that way, but, like hoblos said, I think 20 or -16 is the standard way.

Answer 6

Got it thank you.Math homework gets confusing.

Answer 7

{20, 16} means "the set containing +20 and -16. this is the correct answer.

The function y = 2|z-2| intersects the line y = 36 in two places... at x = -16 and at x = +20.

(see attached).

Answer 8

Ohh i see, thank you

Answer 9

But when i work it out i still get the set containing {20,16} instead of {20,-16}

Answer 10

Ohh i get it now, i see