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Question

Write the set of values of x satisfying |x1|3 and |x1|1. The sum of minimum and maximum value of x satisfying the equations is:

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Solution

if x10,i.e. x1x+13x2x2,x[2,]x+11x0x0x(,0]x [2,0]if x1>0x13x4x11x2x[2,4]
maximum of x=4, minimum of x=2 and their sum =6

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