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Determinati elementele multimii A unde × apartine Z
A={×|3×-1 supra2×+1}
PLSSS


Răspuns :

A={x∈Z | 3x-1/2x+1 ∈Z}
3x-1/2x+1∈Z
2x+1 | 2x+1⇔2x+1|6x+3
2x+1 | 3x-1 ⇔2x+1|6x-2
 Prin scadere:2x+1|6x+3-6x+2⇒2x+1|5
2x+1∈D5
2x+1∈{-5,-1,1,5}
2x∈{-6,-2,0,4}
x∈{-3,-1,0,2}
A= {-3,-1,0,2}
Hope you understood.