simple mod

Question

|X-2|=(X-1)/2

stolyar · Answer

The answers are correct. There are two ways to solve it. To square both parts and solve a quadratic equation by checking each root, or to open up a modul by separating the initial equation in two cases.

vizzz · Answer

Is there an easier way to solve these questions? I'm always scared that I'll miss out on some numbers. I can just place numbers and see but I know its not the right and best way !!!

giddi77 · Answer

vizz,

When we say lxl = 3 it implies that x = 3 or x = -3.

Check this out if you need more info.
 https://www.purplemath.com/modules/absolute.htm 

so |x-2| = (x-1)/2 implies
x-2 = (x-1)/2 or x-2 = -(x-1)/2

Solve these two eqns and you should arrive at 
x = 3 or x = 5/3

ps_dahiya · Answer

There are two cases

1. x-2 = (x-1)/2 which yields x = 3

2. -(x-2) = (x-1)/2 which yields x = 5/3

lhotseface · Answer

3 and 5/3 as above. Expl. same as above.

andy_gr8 · Answer

For positive X => x-2=(x-1)/2=> x=3
For negative X=> -(x-2)=(x-1)/2=>x=5/3

simple mod

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