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.
