The inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
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We have building B was built two years before building C.
The age of C is represented by x
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
(x+ 2)(x+4) ≥ 195
After solving we get:
x²+ 6x +8 ≥ 195
Thus, the inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
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