Question

For which equations is x = 9 a possible solution? Check all that apply.

1) [x] = 9
2) -x1 = 9
3) -|-x| = 9
4) -|-x1 = -9
5) x = -9
6) l-x] = 9
7) -x= -9

Answer 1

To determine which equations have x = 9 as a possible solution, substitute x = 9 into each equation. The equations that have x = 9 as a possible solution are [x] = 9, -|-x1 = -9, and -x = -9.

Step-by-step explanation:

To determine which equations have x = 9 as a possible solution, we can substitute x = 9 into each equation and see if it satisfies the equation.

1. For [x] = 9, the absolute value of 9 is 9, so it satisfies the equation. x = 9 is a possible solution.
2. For -x1 = 9, when we substitute x = 9, we get -9 = 9, which is not true. x = 9 is not a possible solution.
3. For -|-x| = 9, when we substitute x = 9, we get -|9| = 9. The absolute value of 9 is 9, so -9 = 9 is not true. x = 9 is not a possible solution.
4. For -|-x1 = -9, when we substitute x = 9, we get -|-9| = -9. The absolute value of 9 is 9, so -9 = -9 is true. x = 9 is a possible solution.
5. For x = -9, substituting x = 9 gives us 9 = -9, which is not true. x = 9 is not a possible solution.
6. For l-x] = 9, substituting x = 9 results in l-9] = 9. The absolute value of -9 is 9, so 9 = 9 is true. x = 9 is a possible solution.
7. For -x = -9, substituting x = 9 gives us -9 = -9, which is true. x = 9 is a possible solution.

So, the equations that have x = 9 as a possible solution are: [x] = 9, -|-x1 = -9, and -x = -9.