Jennifer is putting together a selection of flowers that has at most 12 flowers in it. She is choosing either roses or carnations. She wants to pick at least three roses and at least two carnations. Let r be the number of roses she uses and let c be the number of carnations she uses. Write a system of inequality’s that represents this scenario.

r + c ≤12

r > 3

c > 2

Step-by-step explanation:

Jennifer is putting together a selection of flowers that has at most 12 flowers in it.

r = number of roses she uses

c = the number of carnations

At also means Less than or equal to.

It is represented by ≤

She is choosing either roses or carnations. She wants to pick at least three roses

r > 3

and at least two carnations.

= c > 2

Therefore, the system of inequality that represents this scenario is written as:

r + c ≤ 12

r > 3

c > 2