Find the set of real value(s) of #a# for which the equation |#2x+3#| + |#2x-3#| = #ax + 3# has more than two solutions. ?

1 Answer
Cesareo R.
Feb 10, 2018

See below.

Explanation:

The best way to explain that question is graphically.

Below, in black the function #y = abs(2x+3)+abs(2x-3)#
in blue the line #y = 2x+3# and in red the line #y=4x+3# so for

#2 < a < 4# the line #y = ax+3# intersects twice the function

#y = abs(2x+3)+abs(2x-3)#

as well as for #-4 < a < -2#

enter image source here

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