Answer:
The solution is the interval (-∞,6)
Step-by-step explanation:
we have
[tex]9x-9<-99[/tex] -----> inequality A
solve for x
[tex]9x<-99+9[/tex]
[tex]9x<-90[/tex]
[tex]x<-10[/tex]
The solution of the inequality A is the interval (-∞,-10)
[tex]2x+6<18[/tex] ----> inequality B
solve for x
[tex]2x<18-6\\2x<12\\x<6[/tex]
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)
