Question

Calculați :
x-1/x+2 mai mic sau egal decât 0 ​

Answer 1

x-1/x+2 ≤ 0

→ Impartim in cazuri posibile

x - 1 ≤ 0

x + 2 > 0

x - 1 ≥ 0

x + 2 < 0

→ Rezolvam inecuatiile

x ≤ 1

x > -2

x ≥ 1

x < -2

→ Determinam intersectia solutiilor

x ∈ (-2, 1]