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Solve the inequality $\left(2x+5\right)\left(2x-3\right)\geq 3x-12$

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Solution

Final answer to the problem

$x\geq \frac{3}{4}$
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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
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  • Weierstrass Substitution
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Grouping terms

Learn how to solve equations problems step by step online.

$\left(2x+5\right)\left(2x-3\right)-3x\geq -12$

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Learn how to solve equations problems step by step online. Solve the inequality (2x+5)(2x-3)>=3x-12. Grouping terms. Multiply the single term 2x-3 by each term of the polynomial \left(2x+5\right). Multiply the single term 5 by each term of the polynomial \left(2x-3\right). Combining like terms 10x and -3x.

Final answer to the problem

$x\geq \frac{3}{4}$

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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: $x\geq \frac{3}{4}$

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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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