Kim needs to place 32 mystery books and 56 biography books on library shelves. she is to place the maximum number of books on each shelf so that all the shelves have the same number of books. each shelf will contain only one type of book.
part a:
determine the number of books to be placed on each shelf.
part b:
how many shelves will kim use for each type of book?

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.