Find all x ∈ R that satisfy the equation& |x+1| + |x-2| = 7.
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Expert's answer
2011-08-09T11:09:16-0400
|x+1|+|x-2|=7
Let’s estimate our x using the simple property of module: & |x|& = { -x, x<0 & x, x>0 Imagine that we’re dividing our rational numbers into three groups: x ∈(-∞,-2), x∈(-2,-1),& x∈(-1,+∞) we have such systems. {x+1<0 & -x-1-x+2=7 & x-2<0) x = -3
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