What is the solution set for this inequality? -6x + 38 > -9

Mathematics

1 answer:

Alla [95]2 years ago

7 0

Answer:

x<47/6

Step-by-step explanation:

-6x + 38 > -9

Subtract 38 from both sides;

-6x+38-38>-9-38

Simplify:

-6x>-47

Multiply both sides by (-1) ( reverse the inequality)

(-6x)(-1)<(-47)(-1)

Simplify;

6x<47

Divide both sides by 6

6x/6=47/6

Simplify;

x<47/6

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

You might be interested in

Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.

enyata [817]

<h2><u>Given</u></h2>

Age of sonali father is year 3 times more then Sonali.

Age of sonali father is 44.

Age of sonali

<h2><u>Solution</u></h2>

Let assume the age of sonali be x

➡ Age of sonali = 3x + 5

➡ Age of sonali father = 44

<h3><u>According to the </u><u>question</u></h3>

<u> $\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}$ </u>

Now , Solving this linear equation.

$\begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}$