How do you solve #|14n+3|>=18#?

1 Answer
Binayaka C.
Oct 31, 2016

Solution: # -3/2>= n>=15/14#. In interval notation expressed as #(-oo,-3/2]uu[15/14,oo)#

Explanation:

1) #|14n+3| >=18 or 14n+3 >=18 or 14n>=15 or n>=15/14# OR

2)#|14n+3| >= 18 or 14n+3 <= -18 or 14n <= -21 or n <=-21/14 or n<=-3/2#
Solution:# -3/2>= n>=15/14# In interval notation expressed as #(-oo,-3/2]uu[15/14,oo)#[Ans]

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1460 views around the world
You can reuse this answer
Creative Commons License