|x-3| + |4-x|=1 find where x exist
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|x-3| + |4-x| =1
|x-3| + |x-4| = 1 (|4-x| =|-x+4| = |-(x-4)| = |x-4|)
|x-3+x-4| =1 (|a|+ |b| = |a+b|)
2x-7 = +/- 1
2x-7 =1 or 2x-7 = -1
x = (1+7)/2 or x = (-1+7)/2
x = 4 or x = 3
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Hope it helps
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