How do you solve #|x+1|≤8#?
Considering
In this instance, you have:
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To solve the inequality (|x + 1| \leq 8), follow these steps:
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Split the inequality into two cases: one for when (x + 1) is positive or zero, and one for when (x + 1) is negative.
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For the case where (x + 1 \geq 0), solve (x + 1 \leq 8).
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For the case where (x + 1 < 0), solve (-(x + 1) \leq 8).
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Solve each inequality separately to find the values of (x).
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After solving each case, check if the solutions are valid by plugging them back into the original inequality.
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Once you have the valid solutions, write them as an ordered pair or in interval notation, depending on the context.
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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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