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
Soloha48 [4]
3 years ago
10

Which number line represents the solution set for the inequality 1x24?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

answer b

Step-by-step explanation:

1. First solve the in equality as if it was an equallity.

-1/2x = 4

that is true for x = -8

By that knowledge alone, you can eleminate two of the four answers. The possible candidates for a good answer are now only answers b an d since the start with -8 on the number line.

2. Now carefully interpret the sign in the inequality. It says for what x values in -1/2x is the outcome BIGGER or equal then 4. From point 1 we established already that it is equal at x = -8 so try for one easy value of x.

With that I mean, substitute that easy value of x in the inequality and that will give you a true or false statement.

3. If the inequality results in a TRUE statement, then that will give you a deffinitive indication about which of the two remaining candidate answers is the right one, and you will have found your answer.

My choice for subsrituting an easy number is x = 0.

Just substitute x= 0 in -1/2x >= 4 and you get

( -1/2 * 0 ) >= 4

0>= 4

Because zero is NOT bigger then 4, the resulting statement is FALSE.

At this moment you know that the point x = 0 is NOT a member of the solution on the number line, which excludes solution d.

Now the only remaining solution is answer b which must be the right answer.

EXTRA

Although you have deduced beyond any certainty, that answer b must be the right answer, you still can check your findings 'to be sure' by substituting a number on the numberline of answer b.

BE CAREFUL, ONLY DO THIS IF YOU HAVE ENOUGH TIME. Again, you already know the right answer, and this is "just to confirm", so what is the harm in that?

By double checking yourself, it will sort of "undermine" your confidence in your chosen aproach. Basically you are doing something which is strictly not nessasary any more. So I urge you, to basically step over the urge to check yourself, and stick to your found answer.

However, if can not resit the temptation of checking, to see if you actually found the right answer, you could test for x = -10 and then you see:

( -1/2 * -10 ) >= 4

( 5 ) >= 4

Because five is BIGGER then 4 this is a true statement, which confirms that answer b is indeed the right answer.

You might be interested in
PLEASE HELP I GIVE THANKS
Art [367]
4x-10=18

4x=18+10

4x=28

x=28/4
<span>
x=7</span>
6 0
3 years ago
WORTH 6 POINTS!! Bob has 2 3/4 gallons of lemonade, 3 5/8 gallons of punch, and a 5 gallon's of soda. He invites 20 of his frien
kolezko [41]
So,

We need to convert the gallons into cups.

1 gal. = 16 c.

2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44

3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58

5 gal. = 5(16) = 80

There are 20 + 15 = 35 people.  Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda.  We just need to subtract these amounts from what Bob has.

44 - 35 = 9 cups of lemonade

58 - 35 = 23 cups of punch

80 - 35 = 45 cups of soda

Obviously, then, Bob will have enough drinks.

He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over.  In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
7 0
3 years ago
Dan's dog-walking job pays $15 per hour. His job as a car-wash attendant pays $400 each week. Dan wants to know how many hours h
KengaRu [80]

Answer:

if his car-wash job gives him $400 then he should only work 8 hours walking dogs to reach 520. Though it says to earn 'more than $520' so maybe 9hrs?

Step-by-step explanation:

He already has $400, which leave $120. 120 divided by 15 equals 8.

5 0
3 years ago
Read 2 more answers
What does “pi” equal?
cupoosta [38]

Answer:

here!

Step-by-step explanation:

"In decimal form, the value of pi is approximately 3.14."

hope this helps! :)

3 0
3 years ago
I need help asap because I don't understand it
USPshnik [31]
Number one is 11, and and you need a pic of the whole sheet so I can see the other bars
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope I. Need it
    11·1 answer
  • A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p
    14·1 answer
  • X÷4+9=12 plzzzzzzzzzzzzzzz help step by step
    14·1 answer
  • X-y=2<br>x² -7y² = 2<br>decide the system​
    12·1 answer
  • A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
    11·1 answer
  • Combine these unlike fractions, then simplify. 4 2/3 - 2 2/5 need answer asap and plz explain
    13·1 answer
  • If wayne has 75 coins his brother has 25 fewer than him how mant does he has
    14·2 answers
  • If Michael and Imani add 18% tip to the bill what does their lunch cost in total
    8·1 answer
  • How do I do these 2 questions
    7·1 answer
  • Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!