👉 Try now NerdPal! Our new math app on iOS and Android

Solve the inequality $\frac{x^2}{x-3}\geq x+1$

Step-by-step Solution

Go!
Math 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

$x\geq -\frac{3}{2}$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Moving the denominator multiplying to the other side of the inequation

$x^2\geq \left(x+1\right)\left(x-3\right)$

Learn how to solve inequalities problems step by step online.

$x^2\geq \left(x+1\right)\left(x-3\right)$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve inequalities problems step by step online. Solve the inequality (x^2)/(x-3)>=x+1. Moving the denominator multiplying to the other side of the inequation. Solve the product \left(x+1\right)\left(x-3\right). Subtract the values 1 and -3. Multiply 1 times -3.

Final Answer

$x\geq -\frac{3}{2}$

Give us your feedback!

Function Plot

Plotting: $x\geq -\frac{3}{2}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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

How to improve your answer:

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.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account