Solve the inequality $\left(x+2\right)\left(x-6\right)<8$

Step-by-step Solution

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Final answer to the problem

$x<\sqrt{24}+2$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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1

Multiply the single term $x-6$ by each term of the polynomial $\left(x+2\right)$

$x\left(x-6\right)+2\left(x-6\right)<8$

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

$x\left(x-6\right)+2\left(x-6\right)<8$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (x+2)(x-6)<8. Multiply the single term x-6 by each term of the polynomial \left(x+2\right). Multiply the single term x by each term of the polynomial \left(x-6\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term 2 by each term of the polynomial \left(x-6\right).

Final answer to the problem

$x<\sqrt{24}+2$

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Function Plot

Plotting: $x<\sqrt{24}+2$

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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

How to improve your answer:

Main Topic: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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