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3x-1<4\left(x-1\right)
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
3x-1<4x-4
Use the distributive property to multiply 4 by x-1.
3x-1-4x<-4
Subtract 4x from both sides.
-x-1<-4
Combine 3x and -4x to get -x.
-x<-4+1
Add 1 to both sides.
-x<-3
Add -4 and 1 to get -3.
x>\frac{-3}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x>3
Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.