Carcass wrote:
Which of the following inequalities is equivalent to |m + 2| < 3 ?
(A) m < 5
(B) m < 1
(C) -5 < m < 5
(D) m > -1
(E) -5 < m < 1
-----ASIDE---------------------------------
When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know:
Rule #1: If |something| < k, then –k < something < k
Rule #2: If |something| > k, then EITHER something > k OR something < -kNote: these rules assume that k is positive--------------------------------------------
The format of given inequality tell us to apply Rule #1 to get:
-3 < m + 2 < 3Subtract 2 from all three parts of the inequality to get:
-5 < m < 1Answer: E
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Brent Hanneson - founder of Greenlight Test Prep