Question

Solve the inequality and express your answer in interval notation.

-10 <-2x+6<-2
a. [-4,9]
C. [-4, 8]
b. [4, 9]
d. [4,8]
Please select the best answer from the choices provided
A
B
C
D

Answer 1

`\huge\boxed{(4,\ 8)}`

Explanation:

`-10<-2x+6<-2\qquad|\text{subtract 6 from all sides}\\\\-10-6<-2x+6-6<-2-6\\\\-16<-2x<-8\qquad|\text{change the signs}\\\\16>2x>8\qquad|\text{divide all sides by 2}\\\\(16)/(2)>(2x)/(2)>(8)/(2)\\\\8>x>4\to4<x<8\\\\\boxed{x\in(4,\ 8)}`