Question

Письменно решите неравенство х+ 8/(4х−1)(х−2) ≥0

Answer 1

x+8/(4x-1)*(x-2)≥0
x+8/(4x-1)*(x-2)≥0, x≠2, x≠1/4

{x+8≥0
{(4x-1)*(x-2)>0

{x+8≤0
{(4x-1)*(x-2)<0

{x≥-8
{x∈(-∞;1/4)∪(2;+∞)

{x≤-8
{x∈(1/4;2)

x∈[-8;1/4) ∪ (2;+∞)