you buy a storage rack that holds 40 cds. you have 27 cds. write an inequality that describes how many more cds you can hold. you buy 15 cds. will they all still fit?
To write an inequality that describes how many more CDs you can hold in the storage rack, you can use the concept of "capacity" or "available space".
Let's say the variable 'x' represents the number of additional CDs that can be held in the rack.
Since the storage rack can hold a maximum of 40 CDs, and you already have 27 CDs, the inequality can be written as:
27 + x ≤ 40
This inequality represents that your current collection of 27 CDs, combined with the maximum number of additional CDs ('x'), must be less than or equal to 40, which is the maximum capacity.
Now, to determine if all 15 CDs you purchased will fit into the storage rack, you need to substitute 'x' with the number 15 and solve the inequality:
27 + 15 ≤ 40
The expression simplifies to:
42 ≤ 40
This statement is false. It means that with the current number of CDs you have (27) and the newly purchased CDs (15), the rack will not be able to hold all of them. You would need a larger storage rack or remove some CDs to make them fit.
Let n be a number of cds to be added.
You can hold them if this is less or equal to a certain number.
n <= ?