Question

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

Answer 1

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.