How do you solve the inequality #abs(7x+2)>10# and write your answer in interval notation?

1 Answer
Binayaka C.
Apr 3, 2017

Solution: #x >8/7 or x < -12/7#. In interval notation : #( - oo , -12/7, ) uu ( 8/7 ,oo) #

Explanation:

#|7 x + 2| > 10 or 7 x+2 > 10 or 7 x > 8 or x >8/7 or x > 1 1/7# OR

#|7 x + 2| > 10 or 7 x+2 < -10 or 7 x < -12 or x < -12/7 or x <- 1 5/7#

Solution: #x >8/7 or x < -12/7#. In interval notation : #(-oo , -12/7, ) uu ( 8/7 ,oo) # [ANS]

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