ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

Solve the inequality $\left(x+2\right)\left(x-1\right)<16$

Go!
Symbolic mode
Text mode
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
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

 Final answer to the problem

$x<\frac{\sqrt{73}-1}{2}$
Got another answer? Verify it here!

 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.
1

Multiply the single term $x-1$ by each term of the polynomial $\left(x+2\right)$

$x\left(x-1\right)+2\left(x-1\right)<16$

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

$x\left(x-1\right)+2\left(x-1\right)<16$

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality (x+2)(x-1)<16. Multiply the single term x-1 by each term of the polynomial \left(x+2\right). Multiply the single term x by each term of the polynomial \left(x-1\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term 2 by each term of the polynomial \left(x-1\right).

 Final answer to the problem

$x<\frac{\sqrt{73}-1}{2}$

 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

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
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: One-variable linear inequalities

Algebraic inequalities that have just one variable.