A new University will spend at most $4,500 to buy monitors and keyboards for a computer lab each monitor will cost $205 and each keyboard will cost $50 which inequality represents all possible combination of x the number of monitors and why the number of keyboard the university can buy for the computer lab
Let's first denote the number of monitors as x.
The cost of each monitor is $205, and the university can spend at most $4,500 for monitors.
Therefore, the total cost for monitors will be 205x, and it must be less than or equal to $4,500. This can be written as:
205x ≤ 4500
Now, let's consider the number of keyboards that can be bought. Each keyboard costs $50, and there is no budget constraint mentioned for keyboards. Thus, we can represent the number of keyboards as any positive integer y.
Combining both the monitor and keyboard variables, the inequality representing all possible combinations can be expressed as:
205x + 50y ≤ 4500