How do you solve and graph #abs(n+5)>=3#?

1 Answer
Tamir E.
Nov 21, 2017

#-8>=n# OR #n>=-2#

(the reds)
#color(red)(-----(-8))#--------#color(red)((-2)----0---->)#n

Explanation:

Solve:
#abs(n+5)>=3#
#=>#
#-3>=n+5# OR #n+5>=3#
#=>#
#-8>=n# OR #n>=-2#

Graph:
On n axis:
-------------0------------->n

We put #n=-8# , #n=-2#
----------#color(red)((-8))#--------#color(red)((-2))#----0------------->n

We need #-8>=n# OR #n>=-2#
(the reds)
#color(red)(-----(-8))#--------#color(red)((-2)----0---->)#n

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1367 views around the world
You can reuse this answer
Creative Commons License