Question

2sin4x>-1 ..............

Answer 1

2sin4x > -1
sin4x > -1/2
-π/6 + 2πn < 4x < 7π/6 + 2πn, n ∈ Z
-π/24 + πn/2 < x < 7π/24 + πn/2, n ∈ Z

Ответ: x ∈ (-π/24 + πn/2; 7π/24 + πn/2), n ∈ Z.

Answer 2

2sin4x>-1
sin4x>-1/2
-π/6+2πn<4x<7π/6+2πn,n-Z
-π/24+πn/2<x<7π/24+πn/2,n-Z