Solve for x
x\leq -2
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2x-6\geq 5x
Use the distributive property to multiply 2 by x-3.
2x-6-5x\geq 0
Subtract 5x from both sides.
-3x-6\geq 0
Combine 2x and -5x to get -3x.
-3x\geq 6
Add 6 to both sides. Anything plus zero gives itself.
x\leq \frac{6}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq -2
Divide 6 by -3 to get -2.
Examples
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y = 3x + 4
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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
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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