Solve for x
x\geq 11
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Algebra
5 problems similar to:
\frac { x - 2 } { 6 } \geq \frac { x - 1 } { 9 } + \frac { 7 } { 18 }
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3\left(x-2\right)\geq 2\left(x-1\right)+7
Multiply both sides of the equation by 18, the least common multiple of 6,9,18. Since 18 is positive, the inequality direction remains the same.
3x-6\geq 2\left(x-1\right)+7
Use the distributive property to multiply 3 by x-2.
3x-6\geq 2x-2+7
Use the distributive property to multiply 2 by x-1.
3x-6\geq 2x+5
Add -2 and 7 to get 5.
3x-6-2x\geq 5
Subtract 2x from both sides.
x-6\geq 5
Combine 3x and -2x to get x.
x\geq 5+6
Add 6 to both sides.
x\geq 11
Add 5 and 6 to get 11.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
\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}