Question

Determinati multimile A si B stiind ca: A={x € N/2x+1|15}; B={x+1 supra 2x+1/x € A}VA ROGG DAU COROANA SI 15 PUNCTE

Answer 1

2x+1∈{1,3,5,15}
2x∈{0,2,4,14}
x∈{0,1,2,7}
A={0,1,2,7}
Pt fiecare element din A calculez x+1/2x+1
x=0 ⇒ x+1/2x+1=1
x=1 ⇒ x+1/2x+1=2/3
x=2 ⇒ x+1/2x+1=3/5
x=7 ⇒ x+1/2x+1=8/15
B={1,2/3, 3/5, 8/15}