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sergeinik [125]
3 years ago
6

What is the solution to the inequality |X-4 <3?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

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 <span>Don't forget S is measured in thousands of units so you are solving for : 

100 < 74.5 + 43.75Sin(πt/6) 
25.5 < 43.75Sin(πt/6) 
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This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3. 
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3 years ago
Mrs. Palma took her coworkers out to dinner yesterday and their subtotal was $72.39
vazorg [7]

Answer:

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Answer:

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Step-by-step explanation:

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