Question

Solve the inequality *
5< -2x + 5 < 25

Answer 1

`\huge\boxed{-10<x<0\to x\in(-10;\ 0)}`

Explanation:

`5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-(20)/(2)<(2x)/(2)<(0)/(2)\\\\-10<x<0`