Solve for t
t<14
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t<4\times \frac{7}{2}
Multiply both sides by \frac{7}{2}, the reciprocal of \frac{2}{7}. Since \frac{2}{7} is positive, the inequality direction remains the same.
t<\frac{4\times 7}{2}
Express 4\times \frac{7}{2} as a single fraction.
t<\frac{28}{2}
Multiply 4 and 7 to get 28.
t<14
Divide 28 by 2 to get 14.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}