What is the solution to the inequality below? 2(x -1) - 4(x + 2) < 5x

Answers

Answer 1

Answer:

[tex]\boxed {x > -\frac{10}{7}}[/tex]

Step-by-step explanation:

Solve the given inequality:

[tex]2(x - 1) - 4(x + 2) < 5x[/tex]

-Use Distributive Property:

[tex]2(x - 1) - 4(x + 2) < 5x[/tex]

[tex]2x - 2 - 4x - 8 < 5x[/tex]

-Combine like terms:

[tex]2x - 2 - 4x - 8 < 5x[/tex]

[tex]-2x - 10 < 5x[/tex]

-Subtract both sides by [tex]5x[/tex]:

[tex]-2x - 10 - 5x < 5x - 5x[/tex]

[tex]-7x - 10 < 0[/tex]

-Add both sides by [tex]10[/tex]:

[tex]-7x - 10 + 10 < + 10[/tex]

[tex]-7x < 10[/tex]

-When you are dividing a integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-7[/tex]:

[tex]\frac{-7x}{-7} < \frac{10}{-7}[/tex]

[tex]\boxed {x > -\frac{10}{7}}[/tex] (final answer)


Related Questions

I will give brainliest and give 17 points please help!!

Answers

Answer:

1. New England Patriots: (3,-2)

2. Miami Dolphins: (-2,1)

3. Denver Brancos: (4,3)

4. Green Bay Packers: (-1,3)

5. San Franciso 49ers: (-4,-4)

6. Pittsburg Steelers: (2,2)

7. Baltimore Ravens: (3,1)

8. Dallas Cowboys: (4,-3)

9. Oakland Raiders: (-4,2)

10. Washington Redskins: (-3,-1)

How do I make someone brainlest?

Answers

Answer:

When 2 people  answers a question you should see a crown and you click  on it and  that is how you marke someone brainlest

Step-by-step explanation:

Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
addition property of equality
distributive property
division property of equality
commutative property

Answers

Answer:

distributive property

Answer:

distributive

Step-by-step explanation:

Q is the midpoint for the points S(11, -6) and T(-1, 10). Find the length of segment QT.
QT=

Answers

Answer:

10

Step-by-step explanation:

QT=ST/2=√(12^2+16^2)/2=10

If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?

Answers

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

Simplify.

5+27÷36+1
If you would please

Answers

Answer:

6.75

Step-by-step explanation:

You can use the calculator or scrap paper, which ever one is easier for you.

i could use some help on this. thanks

Answers

Answer: is B

Step-by-step explanation:

Answer:

1 to 1?

Step-by-step explanation:

The cost of 2 cups of strawberries is $6. Write an equation for the relationship between the cost and cups os strawberries

Answers

Answer:One equation is x=6/2

Hope this helps

Answer:

the strawberrys are worth $3 per cup.

Step-by-step explanation:

s= $6

Thirty is less than the sum of a number x and six

Answers

Answer:

x>24

Step-by-step explanation:

There is laundry detergent for $6.90 for 128 oz and detergent for $5.50 for 96 oz.
SHOW MATHEMATICAL WORK PLEASE I NEED HELP​

Answers

Answer: The detergent for $5.50 for 96 oz is better.

Step-by-step explanation:

128 ÷ $6.90 ≈ 18.55

96 ÷ $5.50 ≈ 17.45

Write an equation of the line passing through the point (4, -2) that is parallel to the line - 3x – 4y = 5.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

−3x−4y=5

Step 1: Add 4y to both sides.

−3x−4y+4y=5+4y

−3x=4y+5

Step 2: Divide both sides by -3.

−3x

−3

=

4y+5

−3

x=

−4

3

y+

−5

3

Answer:

x=

−4

3

y+

−5

3

I think the answer would be ———— y + 2 = - 3/4 ( x - 4 ) .

So, the line is parallel to - 3x - 4y = 5 and the line passes through the point (4, -2).

So, what I did was I pulled up a graphing site on my Chromebook called DESMOS, maybe you could use this in the future to help you out a little bit.

I then graphed the line of - 3x - 4y = 5 or you could simplify it to y = -3/4x + 5/4 .

The slope of the line is 3/4 . You can find this by taking the points (-15, 10) and (5, -5) and doing this...

m = y2 - y1 divided by x2 - x1 which would look like -5 - 10 divided by 5 - -15 which would simplify to -15 over 20 which would get you a slope of -3/4.

Then you take the formula y - y1 = m( x - x1) and substitute in your variables.

It should look something like this y + 2 = - 3/4 ( x - 4) .

This answer is parallel to -3x - 4y = 5.

I’m sorry, I’m not very good at explaining, but I hope this helps you out.

convert each terminating decimal to a fraction in its simplest form. A. 0.4 B. 0.625

Answers

Answer:

A. 2/5

B. 5/8

Step-by-step explanation:

0.4 = 4/10 = 2/5

625/1,000 = 125/200 =25/40 = 5/8

Stephen has a dog that weigths 5 times as much as lan's dog.The total weigths of both dogs is 72 pounds.How much does Stephens dog weigths?

Answers

Answer: Stephens dog weighs 60 pounds

Step-by-step explanation:

Systems by elimination:
please help me..ASAP

Answers

Answer:

#1 is no solution and #2 is infinitely many solutions

the first one would be c) (2,-9)
the second one i’m not sure

A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.

Answers

Answer:

45.7miles per hour

Step-by-step explanation:

40mins = 2/3 hour

the bus travelled (2/3 x 40) miles = 80/3 miles

the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)

2-5/6x=-5

what is x
pls show me how to solve it

Answers

x=8.4 work is in the picture box.

-6 = 2/3r solve for r

Answers

r=-9


explanation: because

Answer:

r=9

Step-by-step explanation:

the ratio as a fraction in simplest form. 5 meters : 20 meters

Answers

Answer:

5/20 but simplified makes it 1/4 this means it is in simplest form so ur answer is 1/4

Step-by-step explanation:

pls mark brainiest

The cost of renting a boat is $20 plus $2.50 per hour, where x is the number of hours of boat rental. Millie wants to spend less than $50 on the boat rental. Which inequality models this situation?​

Answers

Answer:

D. 20 + 2.50x < 50

Step-by-step explanation:

20 + 2.50x < 50 - the sign has to be less than because Millie wants to spend less than $50

What is -18/-6? I am having trouble with negative numbers.

Answers

Answer:

3

Step-by-step explanation:

This is a simple rule with negative numbers, a negative divided by a negative is negative. So, 18/6 is 3, so the answer is 3

Answer:

1.125

Step-by-step explanation:

The symbol " / " is a Divide expression. If you divide both negative or add, subtract and multiply, the anwer will be positive.

-18/-16 =

Exact Form :

9/8

Decimal Form :

1.125

Mixed Number Form:

1 1/8

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
it needs to be an inequality
if you don't know what an inequality look at the other picture below

Answers

Answer: i think that the equation is 6

Step-by-step explanation:

can i get some help with geometry​

Answers

Answer:

first you need to make that into an equation here i think your equation that will help you on that question is 46°+63°=X

Step-by-step explanation:

K-is (4°k+5°y)+(4°k+10°y)=118°

and then what ever you get out of the K's and Y's you will divide that number by 118 and that is the value of K

and this is my opinion

at 2 a m, the temperature was -6C An hour later, the temperature had decreased by 8C what was in the new temperature

Answers

Answer:

2c

Step-by-step explanation:

مرحبا انا جديد انت ايضا

What is the slope-intercept equation for the line below?

A) y = 5/4x - 4
B) y = 4/5x - 4
C) y = -4/5x - 4
D) y = -5/4x - 4​

Answers

Answer:

A) y = 5/4x - 4

Step-by-step explanation:

Slope-intercept formula

y = mx + b, where m = slope, b = y-intercept

Slope formula

m = (y2 - y1)/(x2 - x1)

Given points (on the graph)

(0, -4) and (4, 1)

Slope is:

m = (1 - (-4))/(4 - 0) = 5/4

y-intercept is

-4 as per the first point

So the line is:

y = 5/4x - 4

Correct answer option is: A) y = 5/4x - 4

Answer:

it is a very very easy sum!

Step-by-step explanation:

goooooood afternoon

What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3

Answers

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment. After one year, he has $164.80. What is the simple percent interest per year?

Answers

Answer: 1.03% Explanation: Divide the amount of money after 1 year by his original investment.

Answer:

The answer is 3%

Step-by-step explanation:

1.) $160 divided by $164.80 = 1.03

2.) 1.03 x 100 = 103

3.) 103 - 100 = 3

4.) 164.80 - 160 = 4.80

5.) 4.80 divided by 160 = 0.03

6.) 0.03 x 100 = 3%

Solution set of equation x^2-5x=0

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {x}^{2} - 5x = 0[/tex]

Factorise x

[tex]x(x - 5) = 0[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]

So :

[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

CHECK :

[tex]x = 0[/tex]

[tex] {0}^{2} - 5(0) = 0[/tex]

[tex]0 - 0 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]x = 5[/tex]

[tex] {5}^{2} - 5(5) = 0[/tex]

[tex]25 - 25 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

I think A or b will equal 0

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Determine if (4,1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Answers

Hey the answer to your solution is (4,1) is correct:))

Factor the expression into an equivalent form.

Answers

Answer: the answer is C.

Step-by-step explanation: factor out 3 from the expression (4y2 -25)

using a2 -b2=(a-b)(a+b), factor the expression. Then your answer is        3(2y-5)(2y+5)

Here you go! Hope this helps!!!!
Other Questions
Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Martys earnings last week? Please solve picture above will give brainlist Create your own buy and sell stock problem 3)What is the range of this function? Write the sum and the expression in standard form. 11 and the opposite of 11 fatima41777 why are you rude Find the distance between the points.(-2,4) and (-2,7) Why was World War I considered the most influential force on American writers of the early 20th century? -Need asap Which lines from "Mending Wall" best indicate that the speaker is amused while repairing the wall? We wear our fingers rough with handling them. Oh, just another kind of out-door game, No one has seen them made or heard them made, But at spring mending-time we find them there. And he likes having thought of it so well He says again, Good fences make good neighbours. We have to use a spell to make them balance: Stay where you are until our backs are turned! please help need assistance A police officer is using a radar device to check motorists speeds A car's price is currently $20,000 and is expected to rise by 4% a year. If the interest rate is 6%, how much do you need to put aside today to buy the car one year from now What is usually the first part of a heroic folk tale?The hero or heroine is given a magical giftThe hero or heroine departs on a difficult journey or questThe hero or heroine defeats the antagonistThe hero or heroine marries the princess or princei will mark brainliest if answer is reasonablethanks Did states have power over the local affairs according to the Mexican Federal Constitution Why is 3 meals a day a unit rate?It compares 1 meal to 1 day.It compares 1 meal to 3 days.It compares 3 meals to 1 day.It compares 3 meals to 3 days. What is the slope of the line that passes through the points (8, 7)(8,7) and (4, 5) ?(4,5)? Write your answer in simplest form. What nucleus is the final product what is the square root of 24. pleasehelp ive been stuck onthis all day What is an equation of the line that passes through the points (4,1) and (8, 5)? Put your answer in fully reduced form.HELP PLS