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Solve the inequality $\left(\frac{x}{2}-1\right)\left(\frac{x}{3}+1\right)>0$

Step-by-step Solution

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Final Answer

$x>2$
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Step-by-step Solution

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Combine all terms into a single fraction with $2$ as common denominator

$\frac{x-2}{2}\left(\frac{x}{3}+1\right)>0$

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

$\frac{x-2}{2}\left(\frac{x}{3}+1\right)>0$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (x/2-1)(x/3+1)>0. Combine all terms into a single fraction with 2 as common denominator. Combine all terms into a single fraction with 3 as common denominator. Multiplying fractions \frac{x-2}{2} \times \frac{x+3}{3}. Moving the 6 multiplying to the other side of the inequation.

Final Answer

$x>2$

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Function Plot

Plotting: $x>2$

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Answer Assistant

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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

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