Answer:
Options 2, 3, 4, 5 are the solutions.
Explanation:
Option 1).
x + 10 = -5
x = -10 - 5
x = -15
Therefore, x = -5 is not the solution.
Option 2).
-x² + 50 = 25
-x² = 25 - 50
-x² = -25
x² = 25
x = ±5
Therefore, x = -5 is a solution
Option (3)
|2x| = 10
2x = ± 10
x = ± 5
Therefore, x = -5 is a solution.
Option (4)
x < 0
Since, -5 < 0
Therefore, x = -5 is a solution.
Option (5)
2x < 10
x < 5
Since, -5 < 5
Therefore, x = -5 is a solution.
Options 2, 3, 4, 5 are the solutions.