Solve for x
x>-6
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-2x-7<x+11
To find the opposite of 2x+7, find the opposite of each term.
-2x-7-x<11
Subtract x from both sides.
-3x-7<11
Combine -2x and -x to get -3x.
-3x<11+7
Add 7 to both sides.
-3x<18
Add 11 and 7 to get 18.
x>\frac{18}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>-6
Divide 18 by -3 to get -6.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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