Question

Rezolvati va rog si mie acest exercitiu: $\frac{2x-1}{3} < \frac{3x+2}{2}$

Answer 1

aducem la acelasi numitor
4x-2<9x+6
4x-9x<6+2
-5x<8
x< - 8/5 

Answer 2

Facem mezii si extremii => (2x-1)*2<(3x+2)*3 <=>

4x-2<9x+6 <=> (4x-4x)-2<(9x-4x) + 6  ---- am scazut "4x" in intreaga inecuatie
<=> -2>5x+6 <=> -8<5x <=> (-8)/5<x <=> x ∈(-8/5 ; + infinit)