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Solve the inequality $y\left(y+6\right)\geq 6$

Step-by-step Solution

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Final Answer

$y\geq 0.872983$
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Step-by-step Solution

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Multiply the single term $y$ by each term of the polynomial $\left(y+6\right)$

$y\cdot y+6y\geq 6$

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

$y\cdot y+6y\geq 6$

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Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality y(y+6)>=6. Multiply the single term y by each term of the polynomial \left(y+6\right). When multiplying two powers that have the same base (y), you can add the exponents. Factor the polynomial y^2+6y. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 6. Now, we can factor y^2+6x+9 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.

Final Answer

$y\geq 0.872983$

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Function Plot

Plotting: $y\geq 0.872983$

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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: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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