Which point is NOT part of the solution of the inequality y ≥ - |x-4| - 3 ?

Mathematics
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Which point is NOT part of the solution of the inequality y ≥ - |x-4| - 3 ? 

a.  (–3, 2)

b.  (4, –4)

c.  (–1, 1)

d.  (0, 0)

Apr 27th, 2015

2  >=  -|-3-4| - 3 = -7 - 3 = -10 - solution. Note that the right-hand side of the inequality is always negative, so the cases a, c, and d give parts of the solution.

-4 <  -|4 - 4| - 3 = 0 - 3 = -3 - not a solution

Answer: b


Apr 28th, 2015

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