Question

Solve: absolute value of 2-x = 9

Answer 1

I'd like the steps please because I don't really know what to do, subtract 2?

Answer 2

\( \color{Black}{\Rightarrow |2 - x| = |x - 2| }\)

can you do it now?

Answer 3

\( \color{Black}{\Rightarrow |x| = y \Longrightarrow x = \pm y }\)

Answer 4

use these properties.

Answer 5

what properties? subtracting 2 and dividing by -1? I'm not sure exactly what I have to do

Answer 6

\( \color{Black}{\Rightarrow |2 -x| = |x -2| }\)
so,

\( \color{Black}{\Rightarrow |x -2| = 9 \Longrightarrow x - 2= \pm9 }\)

Here we have to different equations.

\( \color{Black}{\Rightarrow x - 2 = 9 }\) and \( x - 2 = -9\)

Answer 7

so you always make it a negative and a positive?

Answer 8

Yes :)

Answer 9

Thank you!

Answer 10

yw :D