Question

9x-9<-99 or 2x+6<18
Show your work please

Answer 1

The solution is the interval (-∞,6)

Explanation:

we have

`9x-9<-99` -----> inequality A

solve for x

`9x<-99+9`

`9x<-90`

`x<-10`

The solution of the inequality A is the interval (-∞,-10)

`2x+6<18` ----> inequality B

solve for x

`2x<18-6\\2x<12\\x<6`

The solution of the inequality B is the interval (-∞,6)

so

The solution of the inequality A or inequality B is

(-∞,-10) U (-∞,6)=(-∞,6)

The solution is the interval (-∞,6)