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Solve the inequality $x^2+11x<-18$

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Solution

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Final answer to the problem

$x<-2$
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Step-by-step Solution

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Learn how to solve inequalities problems step by step online. Solve the inequality x^2+11x<-18. Factor the polynomial x^2+11x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 11. Now, we can factor x^2+11x+\frac{121}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply the fraction and term in - \frac{121}{4}. Moving the term -\frac{121}{4} to the other side of the inequation with opposite sign.

Final answer to the problem

$x<-2$

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Plotting: $x<-2$

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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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$x^2+11x<-18$

Main Topic: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

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