\left. \begin{array} { l } { 20 - 4 = 76 } \\ { 13 + 5 \cdot 3 - 6 = 4 } \end{array} \right.
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16=76\text{ and }13+5\times 3-6=4
Subtract 4 from 20 to get 16.
\text{false}\text{ and }13+5\times 3-6=4
Compare 16 and 76.
\text{false}\text{ and }13+15-6=4
Multiply 5 and 3 to get 15.
\text{false}\text{ and }28-6=4
Add 13 and 15 to get 28.
\text{false}\text{ and }22=4
Subtract 6 from 28 to get 22.
\text{false}\text{ and }\text{false}
Compare 22 and 4.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}