Translate graph to an inequality using the variable x. The link:     http://i48.tinypic.com/2w4mdd1.jpg

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durbanville eNotes educator| Certified Educator

The graph indicates values between something smaller than 3.2 (but we do not know what) and 3.7. We know therefore that the value of 3.2 may be equal (=) to x (there is a closed in dot beyond it on the way to 3.1). So we know for sure that x>3.1.

We also know that x is either equal(=) to or smaller than (<) 3.7 as indicated by the closed in dot. An open dot would indicate that it does not actually equal the number. 3.2 is within this range so fits within this inequality.   

`therefore 3.1< x <= 3.7`