Verified answer

(X-2)/(X+3) < 0

x-2 < 0

x < 2 ( menor ou igual )

(x - 2)/(x + 3) ≤ 0

x/(x + 3) - 2/(x + 3) ≤ 0

x² + 3x - 2x - 6 ≤ 0

x² + x - 6 ≤ 0

d² = 1 + 24 = 25

d = 5

x1 = (-1 + 5)/2 = 2

x2 = (-1 - 5)/2 = -3

-3 < x ≤ 2

pronto