Question 408765
If you divide both sides of the inequality by -2 you'll get 



|3x-4| > -8



Note: remember that the sign will flip when you divide both sides by a negative number.



Now remember that the absolute value of ANY number is ALWAYS nonnegative. In other words, it will NEVER be negative.



Since 0 and every positive number is greater than any negative number, this means that the inequality |3x-4| > -8 is true for ALL values of x.



So there are an infinite number of solutions. Basically, any real number will work for x.



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