Question 767013
we use the pattern for less than and eliminate the absolute value by
solving two inequalities
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a) (4x+1) / (x+2) < or = 3
4x+1 < or = 3x+6              multiply both sides by x+2
x+1 < or = 6                  subtract 3x from both sides
x < or = 5                    subtract 1 from both sides
critical numbers are -2 and -1/4
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b) - (4x+1) / (x+2) < or = 3
(4x+1) / (x+2) > or = -3       multiply by -1
4x+1 > or = -3x-6              multiply by (x+2)
x+1 > or = -6                  add -3x 
x > or = -7                    subtract -1
critical numbers are -2 and -1/4
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[-7,-2) and (-2, 5]
and 0 at -1/4