Which of the following is a solution of y > |x| - 5? a.(4, -1) , -4) , 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):   The right side is in fact equal to the left side so that's not the answer.  For (-1, -4): and these are also equal.  Let's try C now (-4, 1): .  The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1.  So C is our answer.