How do you determine whether the two ratios form a proportion: #5/7, 8/11#?
They are not in proportion
Cross multiplication gives 5(11)=55 and 7(8) =56, which are not equal.
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To determine if the two ratios 5/7 and 8/11 form a proportion, you cross multiply and check if the products are equal. So, (5 * 11) should equal (7 * 8) if the ratios form a proportion. If they are equal, then the ratios form a proportion.
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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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