\left. \begin{array} { l } { 2 \cdot 7 + 5 \cdot - 4 = - 6 } \\ { 3 \cdot 7 - 2 \cdot - 4 = - 9 } \end{array} \right.
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14-20=-6\text{ and }3\times 7-2\left(-4\right)=-9
Multiply 2 and 7 to get 14. Multiply 5 and -4 to get -20.
-6=-6\text{ and }3\times 7-2\left(-4\right)=-9
Subtract 20 from 14 to get -6.
\text{true}\text{ and }3\times 7-2\left(-4\right)=-9
Compare -6 and -6.
\text{true}\text{ and }21-2\left(-4\right)=-9
Multiply 3 and 7 to get 21.
\text{true}\text{ and }21-\left(-8\right)=-9
Multiply 2 and -4 to get -8.
\text{true}\text{ and }21+8=-9
The opposite of -8 is 8.
\text{true}\text{ and }29=-9
Add 21 and 8 to get 29.
\text{true}\text{ and }\text{false}
Compare 29 and -9.
\text{false}
The conjunction of \text{true} and \text{false} is \text{false}.
Examples
Quadratic equation
{ 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}