solving inequality

just practice to remember

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Supremum and infimum part 1

solve |3x+1|<5-x.

1) always must remember  -c  -b  -a  0  a  b  c  

                 if |x|<c,    <------------------------->

                 if |x| >a,   <------                  ------>                

2) -(5-x) < 3x+1< 5-x

-6+x < 3x< 4-x

-6<2x   or 4x< 4

-3<x     or    x<1       Ans:            -3< x < 1

                  

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