\left. \begin{array} { l } { 6 \times 0 - 3 \geq 0 + 7 } \\ { 7 ( 0 ) + 3 \leq 15 + 3 ( - 0 ) } \end{array} \right.
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false
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0-3\geq 0+7\text{ and }7\times 0+3\leq 15+3\times 0
Multiply 6 and 0 to get 0.
-3\geq 0+7\text{ and }7\times 0+3\leq 15+3\times 0
Subtract 3 from 0 to get -3.
-3\geq 7\text{ and }7\times 0+3\leq 15+3\times 0
Add 0 and 7 to get 7.
\text{false}\text{ and }7\times 0+3\leq 15+3\times 0
Compare -3 and 7.
\text{false}\text{ and }0+3\leq 15+3\times 0
Multiply 7 and 0 to get 0.
\text{false}\text{ and }3\leq 15+3\times 0
Add 0 and 3 to get 3.
\text{false}\text{ and }3\leq 15+0
Multiply 3 and 0 to get 0.
\text{false}\text{ and }3\leq 15
Add 15 and 0 to get 15.
\text{false}\text{ and }\text{true}
Compare 3 and 15.
\text{false}
The conjunction of \text{false} and \text{true} 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}