How do you solve #|x - 1400| \leq 150?#

1 Answer
Jim G.
May 13, 2017

#1250 <= x <= 1550#

Explanation:

#"inequalities of the type " |x|<=a#

#"always have solutions of the form" -a <=x <= a#

#rArr-150<=x-1400<=150#

#"add 1400 to ALL 3 intervals"#

#-150+1400<=xcancel(-1400)cancel(+1400)<=150+1400#

#rArr1250<=x<=1550" is the solution"#

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