How do you solve the compound inequality #h-10< -21# or #h+3<2#?

2 Answers
Jan 11, 2018

Answer:

Solution: # h <-11 or (-oo , -11)#

Explanation:

#h-10<-21 or h < -21+10 or h < -11# or

#h+3<2 or h < 2-3 or h < -1#

The intersection of the two solutions is # h <-11#

Solution: # h <-11 or (-oo , -11)# [Ans]

Jan 11, 2018

Answer:

#(-oo,-11)#

Explanation:

#"solve both inequalities"#

#h-10<-21larr" add 10 to both sides"#

#rArrh<-11#

#h+3<2larr" subtract 3 from both sides"#

#rArrh<-1#

#-11 < h < -1" only satisfies "h+3<2#

#"whereas "x < -11" satisfies both inequalities"#

#rArr(-oo,-11)" is the solution"#