Solve the inequality $\frac{5}{6}\left(3-x\right)-\frac{1}{4}\left(x-4\right)\geq \frac{1}{3}\left(2x-3\right)-x$

Step-by-step Solution

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Final answer to the problem

$x\geq 6$
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Step-by-step Solution

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1

Multiply the single term $\frac{5}{6}$ by each term of the polynomial $\left(3-x\right)$

$3\cdot \left(\frac{5}{6}\right)- \left(\frac{5}{6}\right)x-\frac{1}{4}\left(x-4\right)\geq \frac{1}{3}\left(2x-3\right)-x$

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$3\cdot \left(\frac{5}{6}\right)- \left(\frac{5}{6}\right)x-\frac{1}{4}\left(x-4\right)\geq \frac{1}{3}\left(2x-3\right)-x$

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Learn how to solve problems step by step online. Solve the inequality 5/6(3-x)-1/4(x-4)>=1/3(2x-3)-x. Multiply the single term \frac{5}{6} by each term of the polynomial \left(3-x\right). Multiplying the fraction by -1. Simplifying. Divide 15 by 6.

Final answer to the problem

$x\geq 6$

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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

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Function Plot

Plotting: $x\geq 6$

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7
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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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