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Question 1207366: Rewrite each of the following statements using absolute value notation:
(a) The distance between 12 and 5 is 17.
I say |12 - 5| = 17.
(b) The distance between x and 2 is 4.
I say |x - 2|= 2.
(c) The distance between x and 2 is less than 4.
I say |x - 2| < 4.
You say?
(d) The number t is more than five units from the origin.
I am having trouble setting up part (d).
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Item (a)
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(a) The distance between 12 and 5 is 17.
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That is false.
Distance between 12 and 5,
 -----------That is what the "distance between" means.
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You did not write your exercise problem correctly.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
(a) The distance between 12 and 5 is 17.
That's not true...
It could be
The distance between 12 and 5 is 7. --> |12-5|=7
Or it might be
The distance between 12 and -5 is 17. --> |12-(-5)|=17, or |12+5|=17
(b) The distance between x and 2 is 4.
Surely in your answer you mean |x-2|=4 instead of |x-2|=2
(c) Your answer is good
(d) The number t is more than five units from the origin.
On a number line, the origin has the value 0.
Rewrite the statement in words similar to the others:
The distance between t and 0 is more than 5 --> |t-0|>5, or just |t|>5
Answer by ikleyn(52786)  (Show Source):
You can put this solution on YOUR website! .
Rewrite each of the following statements using absolute value notation:
(a) The distance between 12 and 5 is 17.
I say |12 - 5| = 17.
(b) The distance between x and 2 is 4.
I say |x - 2|= 2.
(c) The distance between x and 2 is less than 4.
I say |x - 2| < 4.
You say?
(d) The number t is more than five units from the origin.
I am having trouble setting up part (d).
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This post reminds me of the funeral carriage races.
Your (a) is fatally incorrect.
Your (b) is fatally incorrect, too.
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Comment from student: The textbook tells me my answer for (b) is right.
The textbook tells me that (a) should be |12-(-5)| = 17 or |-5-12| = 17. Is the late David Cohen wrong?
My response : Regarding your comment, |12-(-5)| = 17 or |-5-12| = 17 is correct.
But in your post, something radically different is written. Namely, it is written
|12 - 5| = 17
which is TOTALLY DIFFERENT and ABSOLUTELY WRONG.
I never read from the late David Cohen; instead, I read from your post.
Accordingly, my notes do not relate to David Cohen - they do relate to your post and your writing, EXCLUSIVELY.
Do not mix obvious things - and even do not try to argue with me in that style . . .
Do not even try to apply and/or to develop demagogy here.
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