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3x-1<2
Combine x and -x to get 0.
3x<2+1
Add 1 to both sides.
3x<3
Add 2 and 1 to get 3.
x<\frac{3}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<1
Divide 3 by 3 to get 1.