How do you solve the inequality #-1/3<= (4x-1)/ 3< 1/2#?
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To solve the inequality (-\frac{1}{3} \leq \frac{4x - 1}{3} < \frac{1}{2}), follow these steps:
- Multiply all parts of the inequality by 3 to clear the denominator: (-1 \leq 4x - 1 < \frac{3}{2}).
- Add 1 to all parts of the inequality: (0 \leq 4x < \frac{3}{2} + 1).
- Simplify the right side: (0 \leq 4x < \frac{5}{2}).
- Divide all parts of the inequality by 4: (0 \leq x < \frac{5}{8}).
- Therefore, the solution to the inequality is (0 \leq x < \frac{5}{8}).
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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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