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

Step-by-step Solution

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Final Answer

$x>-\frac{4}{3}$
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Step-by-step Solution

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1

Moving the $5$ multiplying to the other side of the inequation

$6x-2>5\left(\frac{3x-2}{3}\right)$

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

$6x-2>5\left(\frac{3x-2}{3}\right)$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (6x-2)/5>(3x-2)/3. Moving the 5 multiplying to the other side of the inequation. Multiplying the fraction by 5. Multiply the single term 5 by each term of the polynomial \left(3x-2\right). Factor the polynomial 6x-2 by it's greatest common factor (GCF): 2.

Final Answer

$x>-\frac{4}{3}$

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Function Plot

Plotting: $x>-\frac{4}{3}$

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1
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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: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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