Final answer:
The correct solution to the inequality 8 < x(7 - x) from the given options is A. 2. This is found by substituting the values into the inequality and determining which makes the inequality true.
Step-by-step explanation:
The question given is about finding a solution to an inequality, specifically 8 < x(7 - x). We must find a value of 'x' that satisfies this inequality among the options given.
To find the correct solution, we must test each option:
- A. If x=2: 8 < 2(7 - 2) which simplifies to 8 < 2(5) = 10, so option A is a solution.
- B. If x=8: 8 < 8(7 - 8) which simplifies to 8 < 8(-1) = -8, so option B is not a solution.
- C. If x=-1: 8 < -1(7 - (-1)) which simplifies to 8 < -1(8) = -8, so option C is not a solution.
- D. If x=0: 8 < 0(7 - 0) which simplifies to 8 < 0, so option D is not a solution.
Among the given options, only A (2) is a solution to the inequality 8 < x(7 - x).