How do you solve the inequality: #-1/6<= 4x-4<1/3#?
1 Answer
Aug 31, 2015
Explanation:
You need to isolate
#-1/6 + 4 <= 4x - color(red)(cancel(color(black)(4))) + color(red)(cancel(color(black)(4))) < 1/3 + 4#
#23/6 <= 4x < 13/3#
Now divide all sides by
#23/6 * 1/4 <= (color(red)(cancel(color(black)(4)))x)/color(red)(cancel(color(black)(4))) < 13/3 * 1/4#
This will get you
#23/24 <= x < 13/12#
which is equivalent to
#23/24 <= x < 26/24#
In interval notation, the solution set for this compound inequality is