Question

Determinati elementele urmatoarelor multimi:
a.A={x apartine Z |x divide -9}
b.B={x€Z|x divide -24}
c.C={x€Z|x divide -12}
d.D={x€Z| x divide 18}
e.E={x€Z| x mulptiplu de 3,-45 mai mic ca x mai mic sau egal cu 6}
f.E={x€Z|x mulptiplu de -5,-35 mai mic sau egal cu x mai mic sau egal cu 10}
g.F={x€Z/x mulptiplu de -8,-58 mai mic ca x mai mic ca 20}

Answer 1

a) xI-9⇒x∈Divizorilor intregi ai lui 9 care sunt {-9,-3,-1,1,3,9}
b) xI-24⇒x∈Divizorilor intregi ai lui 24 care sunt {-24,-12,-8,-6,-4,-3,-2,-1,1,2,3,4,6,8,12,24}
c) xI-12⇒x∈Divizorilor intregi ai lui 12 care sunt {-12,-6,-4,-3,-2,-1,1,2,3,4,6,12}
d)xI18x∈Divizorilor intregi ai lui 18 care sunt {-18,-9,-6,-3,-2,-1,1,2,3,6,9,18}
e)x∈{-42,-39,-36,-33,-30,-27,....0,3,6}
f)x∈{-35,-30,-25,-20,-15,-10,-5,0,5,10}
g)x∈{-56,-48,-40,-32,-24,-16,-8,0,8,16}