# How do you solve #abs(3x-9)-2<=7#?

Now, you have two possible cases to deal with

In this case, the inequality becomes

In this case, the inequality becomes

This means that the solution interval will be

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To solve the inequality (|3x - 9| - 2 \leq 7):

- Add 2 to both sides: (|3x - 9| \leq 9).
- There are two cases to consider: a. (3x - 9 \leq 9) when (3x - 9) is positive. b. (3x - 9 \geq -9) when (3x - 9) is negative.
- Solve each case separately: a. For (3x - 9 \leq 9), add 9 to both sides: (3x \leq 18), then divide by 3: (x \leq 6). b. For (3x - 9 \geq -9), add 9 to both sides: (3x \geq 0), then divide by 3: (x \geq 0).
- Combine the solutions: (0 \leq x \leq 6).

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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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