Solve for b
b>0
Solve for a
a\in \mathrm{R}
b>0
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3a-2b-2b<3a
Subtract 2b from both sides.
3a-4b<3a
Combine -2b and -2b to get -4b.
-4b<3a-3a
Subtract 3a from both sides.
-4b<0
Combine 3a and -3a to get 0.
b>0
Product of two numbers is <0 if one is >0 and the other is <0. Since -4<0, b must be >0.
Examples
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y = 3x + 4
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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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