Show that the m equations a n j=1 aijxj = bi, i = 1, 2,c, m are

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Show that the m equations a

n j=1 aijxj = bi, i = 1, 2,c, m are equivalent to the following m + 1 inequalities:

a n

j=1 aijxj … bi, i = 1, 2,c, m a

n j=1 aa m

i=1 aijbxj Ú a m

i=1 bi

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