SOLUTION: What is the least value of y that satisfies the following inequality?
|4+x|+|5+y|≤100
Algebra.Com
Question 257610: What is the least value of y that satisfies the following inequality?
|4+x|+|5+y|≤100
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
WIth these absolute values we must start with 4 inequalities. here are the four:
(i)
(ii)
(iii)
(iv)
--
we can solve each of these for y as
(i) becomes (v)
(ii) becomes (vi)
(iii) becomes (vii)
(iv) becomes (viii)
--
Graphing them creates a quadrilateral. We now graph these and look for the minimum y crossing points. This occurs when (vi) crosses over (viii). We get
adding down, the x's drop out and we get
and then
So, the minimum value of y is -105.
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