Решить неравенство sin(x/4 + 5π/6) >= -1/2

Question

Решить неравенство sin(x/4 + 5π/6) >= -1/2

Answer 1

Sin(x/4+5π/6)≥-1/2
x/4+5π/6∈[ -π/6+2πn; 7π/6+2πn], n∈Z
x/4∈[-π/6-5π/6+2πn;7π/6-5π/6+2πn]
x/4∈[-π+2πn;2π/6+2πn]
x∈[-4π+8πn;4π/3+6πn], n∈Z