Solve for x
x<\frac{3}{4}
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\frac{4}{3}x+5<6
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
\frac{4}{3}x<6-5
Subtract 5 from both sides.
\frac{4}{3}x<1
Subtract 5 from 6 to get 1.
x<1\times \frac{3}{4}
Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}. Since \frac{4}{3} is positive, the inequality direction remains the same.
x<\frac{3}{4}
Multiply 1 and \frac{3}{4} to get \frac{3}{4}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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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