Question

Решите неравенства:

1) (2/13)^7x+3 ≥ (2/13)^4-x

2) 9^4+3x < (1/27)^6-x

Answer 1

1) (2/13)^7x+3 ≥ (2/13)^4-x
7x+3≤4-x
7x+x≤4-3
8x≤1
x≤1/8
x∈(-∞;1/8]

2) 9^4+3x < (1/27)^6-x
3^(8+6x)<3^(-18+3x)
8+6x<-18+3x
6x-3x<-18-8
3x<-26
x<-26/3
x∈(-∞;-36/3)