Question

Don't know where I'm going wrong :S
Question:
|x-2| = 7 - x

My working out:

Case 1:
x - 2 = 7 - x
2x = 9
x = 9/2
x = 4.5

Case 2:
-(x-2) = 7 - x
-x + 2 = 7 - x
Undef.

∴x = 4.5

Test x = 4.5:
|4.5 - 2| = 7 - 4.5

2.5 = 3.5

Answer 1

how abt....
\[|x-2|=\sqrt{(x-2)^2}\]right?

Answer 2

Yeah, but how would I make the inequation equal on both sides? :/

Answer 3

7 - 4.5 = 2.5!!!

Answer 4

I think only 4.5 is the solution..

Answer 5

you can draw the graphs ... it will instersect at one and only point i.e. 4.5

Answer 6

OH GOD, THANK YOU SOTARANTINO, what's the point of doing such questions if I make a mistake at the most basic parts -_-

Thanks a lot guys :p,

Answer 7

hmmm... 7 - 4.5=2.5

Answer 8

where were my eyes!!!! :@@@@@@@@@@@@

Answer 9

lol!!!