Réitigh do x.
x\in [-8,-2)
Graf
Tráth na gCeist
Algebra
\frac{ x-4 }{ x+2 } \geq 2
Roinn
Cóipeáladh go dtí an ghearrthaisce
x+2>0 x+2<0
Denominator x+2 cannot be zero since division by zero is not defined. There are two cases.
x>-2
Consider the case when x+2 is positive. Move 2 to the right hand side.
x-4\geq 2\left(x+2\right)
The initial inequality does not change the direction when multiplied by x+2 for x+2>0.
x-4\geq 2x+4
Multiply out the right hand side.
x-2x\geq 4+4
Move the terms containing x to the left hand side and all other terms to the right hand side.
-x\geq 8
Cuir téarmaí cosúla le chéile.
x\leq -8
Roinn an dá thaobh faoi -1. Tá -1 <0, mar sin athraítear treo na héagothromóide.
x\in \emptyset
Consider condition x>-2 specified above.
x<-2
Now consider the case when x+2 is negative. Move 2 to the right hand side.
x-4\leq 2\left(x+2\right)
The initial inequality changes the direction when multiplied by x+2 for x+2<0.
x-4\leq 2x+4
Multiply out the right hand side.
x-2x\leq 4+4
Move the terms containing x to the left hand side and all other terms to the right hand side.
-x\leq 8
Cuir téarmaí cosúla le chéile.
x\geq -8
Roinn an dá thaobh faoi -1. Tá -1 <0, mar sin athraítear treo na héagothromóide.
x\in [-8,-2)
Consider condition x<-2 specified above.
x\in [-8,-2)
Is é an réiteach deireanach ná suim na réiteach a fuarthas.
Samplaí
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{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}