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# Solve the inequality $\frac{3x+2}{5}<\frac{x}{4}$

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##  Final answer to the problem

$x<-\frac{2}{3}$
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##  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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Moving the $5$ multiplying to the other side of the inequation

$3x+2<5\left(\frac{x}{4}\right)$

Learn how to solve problems step by step online.

$3x+2<5\left(\frac{x}{4}\right)$

Learn how to solve problems step by step online. Solve the inequality (3x+2)/5<x/4. Moving the 5 multiplying to the other side of the inequation. Simplify the fraction 5\left(\frac{x}{4}\right). Moving the term 2 to the other side of the inequation with opposite sign. Divide both sides of the inequation by 3.

##  Final answer to the problem

$x<-\frac{2}{3}$

##  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
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