QUESTION 1
The given inequality is
We group like terms to get,
This implies that,
or 
.
We simplify the inequality to get,
or .
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.
We split the absolute value sign to get,
or 
This implies that,
or
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is
We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 
We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is
We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,
Answer:
21.75 years (Almost 22 years)
21 years and 9 months. :)
Step-by-step explanation:
There are 12 months in a year.
261/12 = 21.75
.75 = 3/4
3/4(12) = 9 months
Hope that helps!
H(x) = 6x + 1
turn h(x) into y
y = 6x + 1
switch the x and the y
x = 6y + 1
solve for y
6y = x - 1
y = 1/6x - 1/6
y = 1/6(x - 1)
now stick the inverse notation in for y....h -1(x)
h-1(x) = 1/6(x - 1).....I think I did that right
Answer:
Following are the solution to this question:
Step-by-step explanation:
They provide various boxes or various objects. It also wants objects to be distributed into containers, so no container is empty. All we select k objects of r to keep no boxes empty, which (r C k) could be done. All such k artifacts can be placed in k containers, each of them in k! Forms. There will be remaining 
objects. All can be put in any of k boxes. Therefore, these objects could in the 
manner are organized. Consequently, both possible ways to do this are
Consequently, the number of ways that r objects in k different boxes can be arranged to make no book empty is every possible one
