How do you solve and write the following in interval notation: #x^2-1x-30>0#?
Solution :
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To solve the inequality ( x^2 - x - 30 > 0 ), you first factor the quadratic expression ( x^2 - x - 30 ) to find its roots. The roots are ( x = -5 ) and ( x = 6 ). Then, you determine the intervals where the expression is greater than zero by testing intervals around the roots. The solution is ( x \in (-\infty, -5) \cup (6, \infty) ) in interval notation.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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