# How do you solve #|8r - 3| <67#?

To solve the inequality |8r - 3| < 67:

- Set up two inequalities: 8r - 3 < 67 and - (8r - 3) < 67.
- Solve each inequality separately.
- Combine the solutions to find the range of values for r.

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The solution to this problem is the interval:

Because this is an absolute value inequality we must convert this to an inequality set and solve the inequality set while keeping the set balanced:

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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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