- #1
Andrax
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Homework Statement
A = { pi + 2k pi / k [itex]\in[/itex] Z }
B = {(- pi / 3) + (2k pi / 3 ) / k [itex]\in[/itex] A }
Prove that A C B
Homework Equations
A C B = [itex]\forallX[/itex]E E : x [itex]\ni[/itex] A [itex]\Rightarrow[/itex] X [itex]\ni B[/itex]
The Attempt at a Solution
[itex]\ni[k E Z ][/itex]: x = pi + 2k pi
[itex]\ni[k E Z ][/itex]: x = pi ( 1 + 2k)
I'm sure i need to get a k and replace it with k' to prove that it belongs to B