Solve the inequality $4\left(x-1\right)\left(x-5\right)>0$

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Final answer to the problem

$x>5$
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Step-by-step Solution

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Apply the formula: $ax>b$$=x>\frac{b}{a}$, where $a=4$, $b=0$ and $x=\left(x-1\right)\left(x-5\right)$

$\left(x-1\right)\left(x-5\right)>\frac{0}{4}$

Learn how to solve inégalités linéaires à une variable problems step by step online.

$\left(x-1\right)\left(x-5\right)>\frac{0}{4}$

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Learn how to solve inégalités linéaires à une variable problems step by step online. Solve the inequality 4(x-1)(x-5)>0. Apply the formula: ax>b=x>\frac{b}{a}, where a=4, b=0 and x=\left(x-1\right)\left(x-5\right). Apply the formula: \frac{a}{b}=\frac{a}{b}, where a=0, b=4 and a/b=\frac{0}{4}. Multiply the single term x-5 by each term of the polynomial \left(x-1\right). Apply the formula: -\left(a+b\right)=-a-b, where a=x, b=-5, -1.0=-1 and a+b=x-5.

Final answer to the problem

$x>5$

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Plotting: $x>5$

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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

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