Final answer:
For the equations given, x = 9 is a possible solution for A, D, and F. These are the equations where substituting x with 9 either directly fulfills the equation or works through the use of absolute value and negation.
Step-by-step explanation:
To determine which equations x = 9 is a solution, we can substitute x with 9 in each equation and see if the equation holds true:
- A. x = 9: This is obviously true because if x is 9, then x = 9.
- B. -x = 9: This would mean x is -9, so x = 9 is not a solution.
- C. -|-x| = 9: The absolute value of x is always positive, so when negated, it cannot equal a positive number like 9. Thus, x = 9 is not a solution.
- D. -|-x} = -9: After correcting the typo, we have -|-x| = -9. If x = 9, the absolute value of -9 is 9, and the negative of that is -9, so x = 9 is a solution.
- E. x = -9: This states that x is -9, meaning x = 9 is not a solution.
- F. |-x| = 9: The absolute value of -9 is indeed 9, so x = 9 is a solution.
- G. |1x1| = -9: Assuming the typos were meant to be absolute value bars, absolutes values can never be negative, so this is never true for any x.
The correct answers would be A, D, and F where x = 9 is a possible solution.