How do you solve #|c - 35| \geq 25#?

1 Answer
Sep 21, 2017

#c>=60 or c<=10#

Explanation:

#|c - 35| >= 25#
We know either
#c-35>=25 or c-35<=-25#
We have two possibilities. The first one is #c - 35>=25# and the second #c-35<=-25#
Let start solving the first one.
#c - 35 >= 25#
#c >= 25 + 35#
#c>=60#

Now, let solve the second possibilty

# c -35<=-25#
#c<=-25+35#
#c<=10#

Hence,
#c>=60 or c<=10#