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Solve the inequality $\frac{3x-2}{1-a}<4x+5$

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Solution

Final answer to the problem

$x<\frac{4x-4ax+7-5a}{3}$
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Step-by-step Solution

How should I solve this problem?

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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

Moving the denominator multiplying to the other side of the inequation

Learn how to solve problems step by step online.

$3x-2<\left(4x+5\right)\left(1-a\right)$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the inequality (3x-2)/(1-a)<4x+5. Moving the denominator multiplying to the other side of the inequation. Moving the term -2 to the other side of the inequation with opposite sign. Multiply the single term 1-a by each term of the polynomial \left(4x+5\right). Multiply the single term 5 by each term of the polynomial \left(1-a\right).

Final answer to the problem

$x<\frac{4x-4ax+7-5a}{3}$

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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: $x<\frac{4x-4ax+7-5a}{3}$

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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
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

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