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Solve the inequality $\frac{x}{x-5}-2\geq 0$

Step-by-step Solution

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Final answer to the problem

$x\leq 10$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Moving the term $-2$ to the other side of the inequation with opposite sign

$\frac{x}{x-5}\geq 0+2$

Learn how to solve implicit differentiation problems step by step online.

$\frac{x}{x-5}\geq 0+2$

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Learn how to solve implicit differentiation problems step by step online. Solve the inequality x/(x-5)-2>=0. Moving the term -2 to the other side of the inequation with opposite sign. Add the values 0 and 2. Moving the denominator multiplying to the other side of the inequation. Multiply the single term 2 by each term of the polynomial \left(x-5\right).

Final answer to the problem

$x\leq 10$

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Function Plot

Plotting: $x\leq 10$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Implicit Differentiation

Implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. For differentiating an implicit function y(x), defined by an equation R(x, y) = 0, it is not generally possible to solve it explicitly for y(x) and then differentiate. Instead, one can differentiate R(x, y) with respect to x and y and then solve a linear equation in dy/dx for getting explicitly the derivative in terms of x and y.

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