



 
Hi, The solution requires that you know the definition of absolute value. \[ z = \left\{ \begin{array}{rl} z & \mbox{if $z \ge 0$} \\ z & \mbox{if $z < 0$}\end{array}\right. \] Thus for your problem if $x  3 \ge 0$, that is if $x \ge 3$ then the expression is \[ 5  x  3 = 5  (x  3) = 5  x + 3 = 8  x\] What is the greatest value of $8  x$ for $x$ an integral and $x \ge 3?$ Now suppose $x  3 < 0.$ What does your expression become? Penny  


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