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
Irina18 [472]
3 years ago
6

Solve. Write the solution in interval notation. -2x>-8 and -5x<20.

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

  reverse the symbol of the inequality

∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

  inequality

∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

  inequality

∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

You might be interested in
C is the hypotenuse of the right triangle ABC with sides a,b,c
CaHeK987 [17]
Yes C is the hypotenuse
8 0
3 years ago
Am I right ? <br> [[ PLEASE HELP IF I"M NOT CORRECT. EXPLAIN, SHOW DETAILS, ETC. ]]
Elena-2011 [213]

Answer:

D 12.57

Step-by-step explanation:

diameter = 4inches hence radius = 2inches

if the crust covers the full pizza "around", technically its the circumfrence

hence 2πr

2×π×2= 12.566 ~ 12.57

5 0
3 years ago
How do you simplify this –34–23a+16a
Dafna11 [192]

Answer:

-34 -7a

Step-by-step explanation:

–34–23a+16a

Combine like terms

-34 -7a

8 0
3 years ago
Read 2 more answers
Anyone know this one?
vodomira [7]

Answer:

yes

Step-by-step explanation:

draw 4 colors red..............your trun.............

5 0
3 years ago
A box contains 2 plain pencil and 2 pens A box contains 3 color pencils and crayons . One item from each box is chosen random Wh
Alex17521 [72]

make a probability tree it will really help so much

4 0
2 years ago
Other questions:
  • Need help quick ..?????brainliest answer
    8·2 answers
  • Only 2/17 of the teachers were sciolists. If 3000 were not sciolists how many teachers were there in all
    14·2 answers
  • Jack had a company spray a sealant on an outdoor patio. The patio is 52 feet by 24.25 feet. If the company charged Jack 1,361.88
    10·2 answers
  • Help please come asp
    13·1 answer
  • How can I solve this Inequality ?
    11·1 answer
  • Please help with this question asap it’s a test
    12·2 answers
  • Use the given equation to find the number <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%2019.7%20%3D%20
    7·1 answer
  • A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The
    5·1 answer
  • Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)
    8·1 answer
  • H(x) = -x^3-2x^2-3x+4; x=2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!