Solve the inequality $2\left(x-y\right)-3\left(y-2\right)<2x+1$

Step-by-step Solution

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Final answer to the problem

$y<1$
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Step-by-step Solution

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  • FOIL Method
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1

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

$2x-2y-3\left(y-2\right)<2x+1$

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

$2x-2y-3\left(y-2\right)<2x+1$

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Learn how to solve two-variable linear inequalities problems step by step online. Solve the inequality 2(x-y)-3(y-2)<2x+1. Multiply the single term 2 by each term of the polynomial \left(x-y\right). Multiply the single term -3 by each term of the polynomial \left(y-2\right). Combining like terms -2y and -3y. Grouping terms.

Final answer to the problem

$y<1$

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Function Plot

Plotting: $y<1$

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Go!
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: Two-variable linear inequalities

Algebraic inequalities that have two distinct variables.

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