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Solve the inequality $2x-3<3x-6$

Step-by-step Solution

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Solution

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Final answer to the problem

$x<3$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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1

Factor the polynomial $3x-6$ by it's greatest common factor (GCF): $3$

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

$2x-3<3\left(x-2\right)$

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Unlock the first 3 steps of this solution

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2x-3<3x-6. Factor the polynomial 3x-6 by it's greatest common factor (GCF): 3. Moving the term -3 to the other side of the inequation with opposite sign. Multiply the single term 3 by each term of the polynomial \left(x-2\right). Add the values -6 and 3.

Final answer to the problem

$x<3$

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Function Plot

Plotting: $x<3$

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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
D□x
∫
∫◻
|◻|
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:

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Main Topic: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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