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## Homework Statement

Ok so I know how to prove Time Dilation using the Lorentz transformation...

My problem is that I don't see why one couldn't use the Inverse Lorentz Transform and come to the opposite result as follows:

Time period in rest frame S: T = t2 - t1

ILT: t = $(t1' + B/c x') where $ is gamma

So: t2-t1 = $(t2'-t1') so T' = T/$ which is the wrong result...

I.e. how does one know that one must use the LT rather than ILT?

Thanks