1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
1 year ago
15

Put the reasons into the correct order to justify solving the inequality: -2(x + 6) < 3(x + 1) -2x 12 < 3x + 3 -2x < 3x

+ 15 -5x < 15 x > 3 Justification 1 Justification 2 Justification 3 Justification 4 Justification 5 Division Property of Order Distributive Property Addition Property of Order Subtraction Property of Order Given​

Mathematics
1 answer:
Illusion [34]1 year ago
7 0

The reasons put into the correct order to justify solving the inequality:

  • -2(x + 6) < 3(x + 1) - Given
  • -2x - 12 < 3x + 3 - Distributive Property
  • -2x < 3x + 15 - Addition Property of Order
  • -5x < 15 - Subtraction Property of Order
  • x > 3 - Division Property of Order

<h3>Justify each property of equality</h3>

-2(x + 6) < 3(x + 1) - Given

-2x - 12 < 3x + 3 - Distributive Property

-2x < 3x + 15 - Addition Property of Order

-5x < 15 - Subtraction Property of Order

x > 3 - Division Property of Order

Check how to solve:

-2(x + 6) < 3(x + 1)

Open the parenthesis

-2x - 12 < 3x + 3

Add 12 to both sides

-2x - 12 + 12 < 3x + 3 + 12

-2x < 3x + 15

Subtract 3x from both sides

-2x - 3x < 3x + 15 - 3x

- 5x < 15

divide both sides by -5

x > 3

Therefore, the solution to the given inequality -2(x + 6) < 3(x + 1) is x > 3.

The properties mentioned above are properties of inequalities and hold for all situations of inequalities as given.

Read more on property of equality:

brainly.com/question/1601404

#SPJ1

You might be interested in
HELP ME ASAP!!!!!!!!!!!Choose the expression that best represents the phrase below. ...16 times as many books... A. 16 b B. 16 +
Ahat [919]

Answer: 16b


Step-by-step explanation:

1. You have the following phrase given in the problem: 16 times as many books. You can conclude this is a multiplication word problem, because:

- Let's call b the number of books.

- "As many boooks" indicates multiplication.

- 16 times means that b should be multiplied by 16.

2. Then, you can conclude that the expression that best represent the phrase is:

16b



6 0
4 years ago
What is the value of x?
True [87]
Red + green = 24; (1)
red + blue  = 10; (2)
blue + green = 20; (3) 

(1) - (2):
green - blue = 14;  (4)

(3) + (4):
2 * green = 34;
green = 17;

Simple substitution gives:
blue = 3;
red = 7;
5 0
3 years ago
Read 2 more answers
If you are subtracting (2n - 4)-(4n-3) what do you get
bearhunter [10]
You first have to distribute the negative to the second pair of parenthesis. So the new equation would be 2n-4-4n+3. Next you combine like terms. So your final answer is -2n-1.
6 0
3 years ago
Help ASAP please
hoa [83]

Answer: Each multiple choice question is worth 5 points.


Step-by-step explanation: You can find this answer by using the equation "14m + 24 = 16m + 14" and then solving for "m". To find what "m" is, you must first subtract 14m from both sides, leaving "24 = 2m + 14". Next, you subtract 14 from both sides, leaving "10 = 2m". Finally, you divide both sides by 2, which will give you "m = 5". Thus meaning each multiple choice question is worth 5 points.

To check this, simply fill in for "m" and solve each side. 14 * 5 + 24 = 94 and 16 * 5 + 14 = 94. 94 = 94, so "m = 5" is correct.

I hope this helps!


8 0
4 years ago
(60 + 10)<br> 130<br> Solve for a
forsale [732]

Answer:

Step-by-step explanation:

here you go mate'

step 1

(60 + 10)130  equation

step 2

(60 + 10)130  simplify with the brackets

step 3

130(70)  multiply the numbers

answer

9100

5 0
3 years ago
Other questions:
  • Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) wh
    5·1 answer
  • 7.
    10·2 answers
  • Linear equation for (1,3) and (-1,-1)
    13·1 answer
  • How do I solve this problem X/n = q
    7·1 answer
  • If my mom use 5 yards of ribbon to make 8 bows how many yards of ribbon would she need for 48 bows
    10·2 answers
  • . Part A. A triangle has side lengths of 13, 9, and 5. Is this triangle a right triangle? * 1 point Yes No 6. Part B. Explain yo
    14·1 answer
  • Jose is baking cakes. He needs 3/4 of butter for each cake. One stick of butter is a 1/2 of a cup. How many sticks do he need to
    7·1 answer
  • Which expression below is equivalent to the expression -3/4(-12x-20Y)
    10·1 answer
  • The winner of a raffle will receive three-fourths, or 0.75, of the $530.40 raised from raffle ticket sales.
    8·2 answers
  • I think im correct ? please help am i?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!