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x+1+3x<9
Add 3x to both sides.
4x+1<9
Combine x and 3x to get 4x.
4x<9-1
Subtract 1 from both sides.
4x<8
Subtract 1 from 9 to get 8.
x<\frac{8}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x<2
Divide 8 by 4 to get 2.