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

Solve the inequality $-\frac{1}{2}\left(\frac{1}{3}x-2\right)\geq \frac{1}{4}$

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

$x\geq \frac{9}{2}$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Divide both sides of the inequation by $-\frac{1}{2}$

$\frac{1}{3}x-2\geq \frac{\frac{1}{4}}{-\frac{1}{2}}$

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

$\frac{1}{3}x-2\geq \frac{\frac{1}{4}}{-\frac{1}{2}}$

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

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

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality -1/2(1/3x-2)>=1/4. Divide both sides of the inequation by -\frac{1}{2}. Divide \frac{1}{4} by -\frac{1}{2}. Moving the term -2 to the other side of the inequation with opposite sign. Subtract the values 2 and -\frac{1}{2}.

Final Answer

$x\geq \frac{9}{2}$

Give us your feedback!

Function Plot

Plotting: $x\geq \frac{9}{2}$

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: One-variable linear inequalities

Algebraic inequalities that have just one variable.

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