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Mathematics 18 Online
OpenStudy (anonymous):

Can somebody help me do an inequality ASAP I'm doing a project due tomaroo

OpenStudy (mathstudent55):

Where's the inequality?

OpenStudy (anonymous):

no I need to create one myself

OpenStudy (anonymous):

OpenStudy (anonymous):

off of this The straws i used were 3in and 2in

OpenStudy (anonymous):

but x cannot be more that 6in cause i checked on the ruler

OpenStudy (mathstudent55):

|dw:1390546612731:dw|

OpenStudy (mathstudent55):

|dw:1390546646658:dw|

OpenStudy (anonymous):

what is that

OpenStudy (mathstudent55):

Those are two sides of a triangle. We need to figure out what the third side can be.

OpenStudy (anonymous):

It can be higher than 1in but lower than 5in

OpenStudy (mathstudent55):

As side a rotates down toward side b, just before side a overlaps side b, the third side of the triangle is just larger than b - a.

OpenStudy (mathstudent55):

Now if you rotate side a up to the left, you get this: |dw:1390546849562:dw|

OpenStudy (mathstudent55):

If you rotate side a up to the left enough, it will become part of the line that contains side b. That means the largest the third side can be is just under the length a + b.

OpenStudy (anonymous):

I dont understand :/

OpenStudy (anonymous):

ohhhhh wait would the inequality be 3-2 < 2+3

OpenStudy (mathstudent55):

If a triangle has 2 sides measuring a and b (b is the longer side), the third side has to be greater than b - a and has to be smaller than a + b.

OpenStudy (anonymous):

so it would be b-a < a+b

OpenStudy (mathstudent55):

If you call the third side x, then it is b - a < x < a + b

OpenStudy (anonymous):

ohhhhhhhhhhhhhhhhhhhhhhh ok

OpenStudy (anonymous):

so it would be 3-2 < x < 2+3

OpenStudy (mathstudent55):

Yes

OpenStudy (anonymous):

ohhhhhhhh wow Thank you so so so so so so so muchhhhhh (:

OpenStudy (mathstudent55):

You're welcome.

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