A construction company is analyzing which of its older projects need renovation. Building B was built two years before building C. Building D was built two years before building B. The product of the building B’s age and building D’s age is at least 195. If x represents the age of building C, which inequality represents this situation?

x²+6x +8 ≥ 195

Step-by-step explanation:

The age of C is represented by  c=  x .

Building B was built two years before building C.

Age of Building B   b = x+ 2

Building D was built two years before building B

Age of Building d= x+4

The product of the building B’s age and building D’s age is at least 195.

b*d ≥ 195

≥ means product is greater than or equal to 195 at least 195

Putting the values of b and d

(x+ 2) (x+4) ≥ 195

It can be further solved

x²+6x +8 ≥ 195