# How do you solve and write the following in interval notation: # 5(x^2-1)>24x#?

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To solve the inequality ( 5(x^2 - 1) > 24x ), first, move all terms to one side to set the inequality to zero: ( 5x^2 - 24x - 5 > 0 ). Then, factor the quadratic expression if possible. Next, find the critical points by setting each factor equal to zero and solve for ( x ). Use test points to determine the sign of the expression in each interval. Finally, write the solution in interval notation based on the sign of the expression in each interval.

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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.

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