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1-x+3x<4
Add 3x to both sides.
1+2x<4
Combine -x and 3x to get 2x.
2x<4-1
Subtract 1 from both sides.
2x<3
Subtract 1 from 4 to get 3.
x<\frac{3}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.