menu

arrow_back Solve \(2(x-1)>3(2 x+3)\)

by Bronze Status
(7,026 points)
in Mathematics
29 views
Solve \(2(x-1)>3(2 x+3)\)

1 Answer

Best answer
0 like 0 dislike
1 Expand.
\[
2 x-2>6 x+9
\]
(2) Subtract \(2 x\) from both sides.
\[
-2>6 x+9-2 x
\]
3 Simplify \(6 x+9-2 x\) to \(4 x+9\).
\[
-2>4 x+9
\]
4) Subtract 9 from both sides.
\[
-2-9>4 x
\]

5 Simplify \(-2-9\) to \(-11\).
\[
-11>4 x
\]
6 Divide both sides by 4 .
\[
-\frac{11}{4}>x
\]
7 Switch sides.
\[
x<-\frac{11}{4}
\]
by Bronze Status
(7,026 points)

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the following inequality. Write the solution set in interval notation. $$ 2 x+1 \leq 3 x-2 $$
1 answer 284 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the following system of equations. Let \(z\) be the parameter. \[ \begin{aligned} &x+2 y+3 z=1 \\ &2 x+y-z=6 \end{aligned} \]

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the system of equations by the Substitution Method. \[ \begin{aligned} &x=2 y+1 \\ &4 x-3 y=14 \end{aligned} \]
1 answer 33 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve for $x$ in $\frac{2}{a+1}-\frac{1}{3} \leq 5$ (represent your final answer in interval notation)
0 answers 60 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve \(\frac{x}{2}+\frac{x}{3}=5\)
1 answer 36 views
Solve \(\frac{x}{2}+\frac{x}{3}=5\)Solve \(\dfrac{x}{2}+\dfrac{x}{3}=5\) ...
by MathsGee Platinum
(106,844 points)
asked in Mathematics Sep 13, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the following inequality. Write the solution set in interval notation. $$ 2 \geq \frac{5-3 x}{4}>-3 $$
1 answer 76 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Solve the following system of equations. \[ \begin{aligned} &x-3 y=-1 \\ &x+y=7 \\ &2 x+5 y=20 \end{aligned} \]
1 answer 32 views
close

Join the MathsGee Homework Help Q&A club where you get study support for success from our verified experts. Subscribe for only R100 per month or R960 per year.


On the MathsGee Homework Help Q&A learning community, you can:


  1. Ask questions
  2. Answer questions
  3. Comment on Answers
  4. Vote on Questions and Answers
  5. Donate to your favourite users
  6. Create/Take Live Video Lessons

Posting on the MathsGee Homework Help Q&A learning community


  1. Remember the human
  2. Behave like you would in real life
  3. Look for the original source of content
  4. Search for duplicates before posting
  5. Read the community's rules

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Management Leadership | MathsGee ZOOM | eBook | H5P