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Solve the inequality $\frac{1}{2}\left(x-\left(1+\frac{-\left(x-2\right)}{3}\right)\right)+1\leq x$

Step-by-step Solution

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Final Answer

$x\geq \frac{1}{2}$
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Step-by-step Solution

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Simplify the product $-(1+\frac{-\left(x-2\right)}{3})$

$\frac{1}{2}\left(x-1+\frac{x-2}{3}\right)+1\leq x$

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

$\frac{1}{2}\left(x-1+\frac{x-2}{3}\right)+1\leq x$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 1/2(x-(1+(-(x-2))/3))+1<=x. Simplify the product -(1+\frac{-\left(x-2\right)}{3}). Solve the product \frac{1}{2}\left(x-1+\frac{x-2}{3}\right). Combine -1+\frac{x-2}{3} in a single fraction. Subtract the values -2 and -3.

Final Answer

$x\geq \frac{1}{2}$

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Function Plot

Plotting: $x\geq \frac{1}{2}$

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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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