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Give an inequality comparing sin (x)] Va and Vä for 0 < x < 1. (Express numbers in exact form. Use symbolic notation and fractions where needed.) inequality: Incorrect

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Final answer:

To compare sin(x)] Va and Vä for 0 < x < 1, we need to evaluate sin(x) for different values of x in that range and then compare it to the constant value ä.

Step-by-step explanation:

In this question, we are asked to give an inequality comparing sin (x)] Va and Vä for 0 < x < 1. To do this, we need to compare the values of sin(x) and ä for different values of x between 0 and 1. Let's start by evaluating sin(x) for some specific values of x in that range.

When x = 0, sin(x) = 0. When x = 1, sin(x) = 0.8415 (rounded to four decimal places). Since ä is a constant and not dependent on x, we need to compare it to the range of values of sin(x).

For 0 < x < 1, the inequality can be written as 0 < sin(x) < ä, where ä is a constant value. This inequality states that the values of sin(x) lie between 0 and ä, exclusive of the endpoints.

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