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

##### 2 Answers

Jan 11, 2018

**Solution:**

#### Explanation:

The intersection of the two solutions is

Solution:

Jan 11, 2018

#### 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"#