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Solve the inequality $\frac{x}{3}+\frac{x}{2}>5+\frac{-x}{6}$

Step-by-step Solution

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Solution

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Final answer to the problem

$x>5$
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Step-by-step Solution

How should I solve this problem?

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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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1

Move everything to the left hand side of the equation

Learn how to solve inequalities problems step by step online.

$\frac{x}{3}+\frac{x}{2}-5+\frac{x}{6}>0$

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Learn how to solve inequalities problems step by step online. Solve the inequality x/3+x/2>5+(-x)/6. Move everything to the left hand side of the equation. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.

Final answer to the problem

$x>5$

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Plotting: $x>5$

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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
D□x
∫
∫◻
|◻|
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

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Similar Problems Solved

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$-5x>20$

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$5x+\frac{3}{2}\geq \frac{2}{3}$

Main Topic: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

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