Question

Determinați nr mulțumi M={x€Z ||x la puterea a3|<1234

Answer 1

Răspuns:

M={-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10}

Explicație pas cu pas:

M={x€Z ||x³|<1234}

-1234<x³<1234, ⇒  ∛(-1234) < x < ∛(1234)

deoarece 10³=1000<1234, iar 11³=1331>1234

deci x∈{-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10}