Solve for x
x>-\frac{12}{5}
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\frac{1}{4}x-2-\frac{2}{3}x<-1
Subtract \frac{2}{3}x from both sides.
-\frac{5}{12}x-2<-1
Combine \frac{1}{4}x and -\frac{2}{3}x to get -\frac{5}{12}x.
-\frac{5}{12}x<-1+2
Add 2 to both sides.
-\frac{5}{12}x<1
Add -1 and 2 to get 1.
x>1\left(-\frac{12}{5}\right)
Multiply both sides by -\frac{12}{5}, the reciprocal of -\frac{5}{12}. Since -\frac{5}{12} is negative, the inequality direction is changed.
x>-\frac{12}{5}
Multiply 1 and -\frac{12}{5} to get -\frac{12}{5}.
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