Write the expression x 1 x 5 without the absolutevalue symb

Write the expression |x + 1| |x 5| without the absolute-value symbols if x is in the given interval. [1, 5)

Solution

|x + 1| |x 5| without the absolute-value symbols if x is in the given interval. [1, 5)

y = |x+1| - |x-5|

for x ( -1.0) y = -(x+1) - (-(x-5)

y =4

for x (0, 5) ; y = x+1 - (x-5)

                       = 6

                y = 6