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Which of the following is a solution of y > |x| - 5? a.(4, -1)
B.(-1, -4)
C.(-4, 1)

1 Answer

6 votes
Fill your inequality in with the y and x provided and then do the math. (4, -1) would fill in like this (I will use brackets to indicate absolute value symbols, since there are none in the equation editor):
-1\ \textgreater \ [4]-5 The right side is in fact equal to the left side so that's not the answer. For (-1, -4):
-4\ \textgreater \ [-1]-5 and these are also equal. Let's try C now (-4, 1):
1\ \textgreater \ [-4]-5. The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1. So C is our answer.
User JomanJi
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