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Grace [21]
3 years ago
13

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

Mathematics
1 answer:
Savatey [412]3 years ago
8 0
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.
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The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

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substitute x=3 in either i) or ii):

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(the result is the same, so checking one is enough)

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In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
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