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Solve the inequality $\frac{4}{3x+1}\leq \frac{2}{x-4}$

Step-by-step Solution

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Final Answer

$x\geq -9$
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Step-by-step Solution

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Inverting the inequation

$\frac{3x+1}{4}\geq \frac{1}{\frac{2}{x-4}}$

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

$\frac{3x+1}{4}\geq \frac{1}{\frac{2}{x-4}}$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 4/(3x+1)<=2/(x-4). Inverting the inequation. Divide fractions \frac{1}{\frac{2}{x-4}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Moving the 4 multiplying to the other side of the inequation. Multiplying the fraction by 4.

Final Answer

$x\geq -9$

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Function Plot

Plotting: $x\geq -9$

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1
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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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