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Mathematics 19 Online
OpenStudy (goalieboy):

will post the question in the attachments

OpenStudy (goalieboy):

Can someone please help me with this it is confusing me

OpenStudy (empty):

what's your best guess?

OpenStudy (goalieboy):

|dw:1446528483475:dw|

ganeshie8 (ganeshie8):

Do you know how to find the "distance" between two points on a "number line" ? |dw:1446529510358:dw|

OpenStudy (goalieboy):

No I do not

ganeshie8 (ganeshie8):

Take a look at the number line and make a guess. It's easy if you find it on ur own..

ganeshie8 (ganeshie8):

whats the distance between the points A and B ?

OpenStudy (goalieboy):

10

ganeshie8 (ganeshie8):

Perfect! How did you get 10 ?

OpenStudy (goalieboy):

I counted

ganeshie8 (ganeshie8):

That's awesome! There is also a more general way to do it. You simply subtract the coordinates of the points. Whats the coordinate of A ? Whats teh coordinate of B ?

OpenStudy (goalieboy):

-7 and 3

ganeshie8 (ganeshie8):

Yes, so the distance between A and B is given by the difference : -7 - 3 = -10

OpenStudy (goalieboy):

ok now how would I do the question that I asked

ganeshie8 (ganeshie8):

but distance is always positive, so it should be |-10| = 10

ganeshie8 (ganeshie8):

so the general method for finding the distance between two points is to take the absolute value of the difference between their coordinates

OpenStudy (goalieboy):

can you help me with my question now?

ganeshie8 (ganeshie8):

sure, do you see anything coomon between your question and the exercise that we have gone through just now ?

OpenStudy (goalieboy):

not really that much

ganeshie8 (ganeshie8):

That's okay, let me try explaining it quick.

ganeshie8 (ganeshie8):

Suppose you want to solve the inequality : \(|t-10| \ge 14\) From our previous exercise, what does \(|t-10|\) represent ?

OpenStudy (goalieboy):

I have the first line I need help with the second line

ganeshie8 (ganeshie8):

I am trying to help. These are not easy if you don't pay attention...

OpenStudy (goalieboy):

I am paying attention

ganeshie8 (ganeshie8):

Let me repeat my question : Suppose you want to solve the inequality : \(|t-10| \ge 14\) From our previous exercise, what does \(|t-10|\) represent ?

OpenStudy (goalieboy):

it is from A to B

ganeshie8 (ganeshie8):

\(|t-10|\) represents the distance between \(t\) and \(10\), yes ?

ganeshie8 (ganeshie8):

so the expression \(|t-10| \ge 14\) is saying that the distance between \(t\) and \(10\) must be at least \(14\).

OpenStudy (goalieboy):

ok

ganeshie8 (ganeshie8):

so where can the point \(t\) be on number line ?

OpenStudy (goalieboy):

1?

ganeshie8 (ganeshie8):

|dw:1446530843047:dw|

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