- 5 \left[ - 3 \left( 2 + 3x \right) - 6 \left( 1 - 2x\right) \right] > - 3 - 2 \left( x + 6 \right) + 8 \left( - 3 - 4x \right)

Step-by-step Solution

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

$x>-\frac{99}{19}$

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)
  • Load more...
Can't find a method? Tell us so we can add it.
1

Math interpretation of the question

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

$-5\left(- 3\left(2+3x\right)- 6\left(1- 2x\right)\right)>-3-2\left(x+6\right)+8\left(-3-4x\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve one-variable linear inequalities problems step by step online. - 5 \left[ - 3 \left( 2 + 3x \right) - 6 \left( 1 - 2x\right) \right] > - 3 - 2 \left( x + 6 \right) + 8 \left( - 3 - 4x \right). Math interpretation of the question. Multiply the single term -2 by each term of the polynomial \left(x+6\right). Add the values -3 and -12. Multiply the single term 8 by each term of the polynomial \left(-3-4x\right).

Final answer to the problem

$x>-\frac{99}{19}$

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

Help us improve with your feedback!

Function Plot

Plotting:

Main Topic: One-variable linear inequalities

Algebraic inequalities that have just one variable.

Your Personal Math Tutor. Powered by AI

Available 24/7, 365 days a year.

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

Choose between multiple solving methods.

Download solutions in PDF format and keep them forever.

Unlimited practice with our AI whiteboard.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account