Solve #|2x+8| > 10# ?

1 Answer
Jul 13, 2016

Answer:

#x>1 or x<-9#

Explanation:

#|2x+8| > 10#

The absolute value means that two limiting values of #x# will satisfy this inequality.

Solution 1:
#2x+8 > 10#
#2x > 10-8#
#2x > 2 -> x>1#

Solution 2: (Reverse the inequality and change sign)
#-(2x+8) <10#
#-2x-8<10#
#-2x < 18 -> x<-9#