Answer:

![x\in [5.55,6.45]](https://tex.z-dn.net/?f=x%5Cin%20%5B5.55%2C6.45%5D)
Step-by-step explanation:
<u>Absolute Value Inequality</u>
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:

The question requires that the variation is at most 0.45 cm. That poses the inequality:

That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:

This is a double inequality than can be easily solved by adding 6 to all the sides.

Operating:

That is the solution in inequality form. Expressing in interval form:
![\boxed{x\in [5.55,6.45]}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%5Cin%20%5B5.55%2C6.45%5D%7D)
Answer:
4
Step-by-step explanation:
4-2=2
To solve for x, the first thing to do is to distribute the 4 to (x-2). When you do this, you should get 4x-8=4x+10
Then, subtract 4x from both sides and then you are left with -8=10. Because -8 is not equal to 10, meaning the equation you are left with is not a true statement, the answer to this would be that there are no real solutions.
Answer:
A. Coefficient
Step-by-step explanation:
The coefficient comes right before the variable, which is the unknown number. The other number that might be there is the constant, and that number does not have a variable with it.