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# Solve the inequality $x^2<10-3x$

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##  Final answer to the problem

$x<2$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• 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)
Can't find a method? Tell us so we can add it.
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Grouping terms

$x^2+3x<10$

Learn how to solve inequalities problems step by step online.

$x^2+3x<10$

Learn how to solve inequalities problems step by step online. Solve the inequality x^2<10-3x. Grouping terms. Factor the polynomial x^2+3x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 3. Now, we can factor x^2+3x+\frac{9}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply the fraction and term in - \frac{9}{4}.

##  Final answer to the problem

$x<2$

##  Explore different ways to solve this problem

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

SnapXam A2

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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
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

###  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.