Final answer:
To solve the inequality (x > 150/x), isolate x on one side by multiplying both sides by x, then factor the expression and determine the solution using the signs of the factors.
Step-by-step explanation:
To solve the inequality (x > 150/x), we need to isolate x on one side of the inequality sign. We start by multiplying both sides of the inequality by x to get rid of the denominator: x^2 > 150. Now, we subtract 150 from both sides: x^2 - 150 > 0. Next, we can factor the left side: (x - 12)(x + 12) > 0. Finally, we use the signs of the factors to determine the solution. Since the product of two factors is greater than zero, either both factors are positive or both factors are negative. Therefore, the solution is x > 12 or x < -12. Answer choice C) (x = 200) is incorrect.