anonymous
  • anonymous
...
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
The answer sheet says the odd integers are 15, 17, and 19. I have no idea whats going on
tkhunny
  • tkhunny
You must NAME the three integers. Do that first.
anonymous
  • anonymous
x = first odd integer?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

tkhunny
  • tkhunny
Good try, but it is only by luck that it will be odd. How do you REQUIRE it to be odd?
anonymous
  • anonymous
well
anonymous
  • anonymous
You don't have to go to that extent. Because they are consecutive odd integers, you know exactly what the difference is between the third one and the first one. Then the question becomes much simpler.
anonymous
  • anonymous
ohh yeah thats true
tkhunny
  • tkhunny
That may be true for this problem, but it is not a general solution to all such problems. Name the three odd integers.
anonymous
  • anonymous
Let the second odd integer be \(x\) and build a fairly simple equation based on the question.
anonymous
  • anonymous
A general solution is not required for a specific problem.
anonymous
  • anonymous
okay im gonna try and figure it out right now
tkhunny
  • tkhunny
A general solution is required for ALL problems. We can worry about esoterica later. If you are in a contest, where speed is of the essence, let's find all the speed-up, short cuts we can. When we are learning to be consistent, correct, and easily followed, please be more deliberate and distinct. Name the three integers.
anonymous
  • anonymous
would the third integer be 4?
tkhunny
  • tkhunny
Does that sound odd to you? What did you name the integers?
anonymous
  • anonymous
no it doesnt
anonymous
  • anonymous
How much is 3 times the difference between the 3rd and 1st odd integer?
sohailiftikhar
  • sohailiftikhar
ok first know that the sum and difference of two odd integers is even
tkhunny
  • tkhunny
Ah! Another single-problem solver.
sohailiftikhar
  • sohailiftikhar
now consider three consecutive odd integers 2x+1, 2x+3,2x+5
anonymous
  • anonymous
hmm
sohailiftikhar
  • sohailiftikhar
now can you solve it ?
anonymous
  • anonymous
yeah i can but how did you get it? Three times the difference of the third and first odd integer is five less than the second odd integer so do you have to multiply or subtract?
sohailiftikhar
  • sohailiftikhar
what is that mean ?'' single-problem solver ''
tkhunny
  • tkhunny
Seriously, if you effectively name the integers, everything everyone is trying to tell you will be seen clearly before your eyes. To bad soha... did the naming for you. It would have been useful to have you come up with that. Keep in mind that it is not the only definition. It could be 2x-1, 2x+1, 2x+3. You just have to keep track of your clear and useful definitions. You were originally going for x,x+2,and x+4. That MIGHT work, but only if you get luck and find a solution where x is odd. With 2x+1, knowing that x is an integer, 2x+1 MUST be odd.
sohailiftikhar
  • sohailiftikhar
yes you can also consider these numbers as well
anonymous
  • anonymous
yeah.. uh
sohailiftikhar
  • sohailiftikhar
2x+1 is odd
tkhunny
  • tkhunny
1st odd integer: 2x+1 2nd odd integer: 2x+3 3rd oddineger: 2x+5 Build it from the problem statement.
sohailiftikhar
  • sohailiftikhar
yes
anonymous
  • anonymous
yeah i can do that.. but like im so lost on how you guys found the integers
tkhunny
  • tkhunny
We didn't FIND them. We just NAMED them.
anonymous
  • anonymous
oh okay
sohailiftikhar
  • sohailiftikhar
here first know this thing that odd integers are 1,3,5,7..... now these are like 2x+1 here put any value of x you will get odd integer try it
anonymous
  • anonymous
okay got it :)
tkhunny
  • tkhunny
If you KNOW x is an integer, then 2x is an EVEN integer and 2x+1 is an ODD integer. That's all.
sohailiftikhar
  • sohailiftikhar
know you have to consider three consecutive odd integers so you can consider 2x+1,2x+3,2x+5 or 2x-1,2x+1,2x+3
triciaal
  • triciaal
another approach
triciaal
  • triciaal
|dw:1441085018113:dw|
triciaal
  • triciaal
|dw:1441085108455:dw|
sohailiftikhar
  • sohailiftikhar
no you can consider these numbers because you don't know what x is
sohailiftikhar
  • sohailiftikhar
you are using answers to make integers huh ...? lol
tkhunny
  • tkhunny
No,see, triciaal is using the magic method. It will only be by luck if x turns out to be odd.
triciaal
  • triciaal
x is an odd integer to count by odd numbers you are counting by 2's
anonymous
  • anonymous
yeah starting to understand now lol
tkhunny
  • tkhunny
You can SAY it is odd, but if your solution produces x = 14 what will you do?
sohailiftikhar
  • sohailiftikhar
but we are discussion the general method right ? so we have to use proper way
anonymous
  • anonymous
yeah its general strategy
anonymous
  • anonymous
but idk
triciaal
  • triciaal
@tkhunny what magic method? go back to basics count by 2's for the next number
tkhunny
  • tkhunny
Asked and answered. You do not KNOW that x will be odd. You have defined ODD or EVEN consecutive integers. There is nothing in your definition that REQUIRES them to be odd.
sohailiftikhar
  • sohailiftikhar
ok so we done now ?
triciaal
  • triciaal
the question said it was odd
sohailiftikhar
  • sohailiftikhar
agree with @tkhunny
tkhunny
  • tkhunny
Your definition didn't.
anonymous
  • anonymous
Thank you guys for your help, I will eventually figure it out. :)
sohailiftikhar
  • sohailiftikhar
we ca solve questions of math by different methods but we have to use a proper method to solve a general problem
sohailiftikhar
  • sohailiftikhar
np :)
triciaal
  • triciaal
@glitterythings do you want me to review what I did ?
tkhunny
  • tkhunny
...and I retract my statement where I called @sohailiftikhar a single-problem solver.
anonymous
  • anonymous
if you dont mind
anonymous
  • anonymous
@triciaal
sohailiftikhar
  • sohailiftikhar
@tkhunny :)
triciaal
  • triciaal
x is an odd integer consecutive means in counting order to count by odd numbers example 1, 3, 5 7 counting by 2's so before x will be (x-2) and after x will be (x +2)
triciaal
  • triciaal
next use the information given to set up the equation
anonymous
  • anonymous
Can i always use that method? but with different information?
tkhunny
  • tkhunny
{sigh} And if you are lucky, x will turn out to be odd. You can always solve with a method that REQUIRES your result to take on the REQUIRED form.
triciaal
  • triciaal
|dw:1441085808490:dw|
triciaal
  • triciaal
simplify the equation, solve for x
triciaal
  • triciaal
is it clear now?
anonymous
  • anonymous
yeah it is
triciaal
  • triciaal
great
anonymous
  • anonymous
thx!

Looking for something else?

Not the answer you are looking for? Search for more explanations.