Question

Rezolvati in multimea nr naturale inecuatia: 3/2 < x+2/3 <9/4

Answer 1

aducem la acelasi numitor

18 < 4x+8 < 27 |-8

10 < 4x < 19 |:4

2,5 < x < 4,75

x∈N  ⇒x∈(2;4)  ⇔x∈{3}

Answer 2

$\dfrac32<x+\dfrac23<\dfrac94\ scadem \ \dfrac23\Rightarrow\dfrac32-\dfrac23<x<\dfrac94-\dfrac23\Rightarrow\dfrac56<x<\dfrac{19}{12}\Rightarrow$

$\Rightarrow0,...<x<1,...\Rightarrow x=1$