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.