Verified answer

Ответ:

Объяснение:

(2ˣ⁻¹-1)/(2ˣ⁺¹+1)<1/2

((2ˣ⁻¹-1)/(2ˣ⁺¹+1))-(1/2)<0

(2*(2ˣ⁻¹-1)-1*(2ˣ⁺¹+1)/(2*(2ˣ⁺¹+1))<0

(2ˣ-2-2ˣ⁺¹-2)/(2*(2ˣ⁺¹+1))<0

(2ˣ-2*2ˣ-4)/(2*(2ˣ⁺¹+1))<0

(-2ˣ-4)/(2*(2ˣ⁺¹+1))<0  

-(2ˣ+4)/(2*(2ˣ⁺¹+1))<0  |×(-2)

(2ˣ+4)/(2ˣ⁺¹+2)>0

2ˣ+4>0

2ˣ⁺¹+2>0     ⇒

(2ˣ+4)/(2ˣ⁺¹+2)≡>0

Ответ: x∈(-∞;+∞).