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

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asinh
acosh
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##  Final answer to the problem

$x>5$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• 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)
Can't find a method? Tell us so we can add it.
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Move everything to the left hand side of the equation

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

Learn how to solve one-variable linear inequalities problems step by step online.

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

Learn how to solve one-variable linear 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. 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. Simplify the numerators.

##  Final answer to the problem

$x>5$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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1
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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

###  Main Topic: One-variable linear inequalities

Algebraic inequalities that have just one variable.