Solve for x
x>-\frac{1}{3}
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x-3x-\left(-1\right)<x+2
To find the opposite of 3x-1, find the opposite of each term.
x-3x+1<x+2
The opposite of -1 is 1.
-2x+1<x+2
Combine x and -3x to get -2x.
-2x+1-x<2
Subtract x from both sides.
-3x+1<2
Combine -2x and -x to get -3x.
-3x<2-1
Subtract 1 from both sides.
-3x<1
Subtract 1 from 2 to get 1.
x>-\frac{1}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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