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October 1, 2014

October 1, 2014

Posted by **Michelle** on Sunday, August 2, 2009 at 3:44pm.

I know I solved this right, I think, but need to put it in interval notatioin. Please tell me if i am correct. Thanks!

PleaseSolve: (x-3)/(x^2-25)<0 and write solution set in interval notation. This is what I get:

x<-5 or 3< x <5

And in interval notation?

- Math Help Please -
**MathMate**, Sunday, August 2, 2009 at 4:28pmIn interval notation, we combine two disjoint intervals with the union operator, ∩. Therefore the answer in interval notation would be:

(-∞, -5) ∩ (3,5)

Parentheses are used (instead of square brackets) to indicate that the limits are excluded from the intervals. Some interval notations use square brackets facing towards the exterior (=exclude) instead of parentheses, i.e.

]-infin;, -5[ ∩ ]3,5[

- Math Help Please -
**MathMate**, Sunday, August 2, 2009 at 4:28pm]-∞, -5[ ∩ ]3,5[

- Math Help Please -
**MathMate**, Sunday, August 2, 2009 at 4:30pmSorry, the union operator is ∪

so the correct intervals are:

(-∞,-5) ∪ (3,5)

or

]-∞, -5[ ∪ ]3,5[

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