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# Solve the inequality $2\left(x+8\right)-3\left(2-x\right)>0$

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##  Final answer to the problem

$x>-2$
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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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Multiply the single term $2$ by each term of the polynomial $\left(x+8\right)$

$2x+16-3\left(2-x\right)>0$

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

$2x+16-3\left(2-x\right)>0$

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2(x+8)-3(2-x)>0. Multiply the single term 2 by each term of the polynomial \left(x+8\right). Multiply the single term -3 by each term of the polynomial \left(2-x\right). Add the values 16 and -6. Combining like terms 2x and 3x.

##  Final answer to the problem

$x>-2$

##  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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a
b
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g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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.