Explanation:

- A set of three numbers can form the sides of a triangle if the sum of any two sides is greater than the third side.

- Option 1: 12, 18, 25

- 12 + 18 = 30, 30 > 25

- 12 + 25 = 37, 37 > 18

- 18 + 25 = 43, 43 > 12

- This set of numbers satisfies the triangle inequality.

- Option 2: 18, 23, 41

- 18 + 23 = 41, 41 = 41

- 18 + 41 = 59, 59 > 23

- 23 + 41 = 64, 64 > 18

- This set of numbers does not satisfy the triangle inequality.

- Option 3: 7, 10, 12

- 7 + 10 = 17, 17 > 12

- 7 + 12 = 19, 19 > 10

- 10 + 12 = 22, 22 > 7

- This set of numbers satisfies the triangle inequality.

- Option 4: 4, 7, 9

- 4 + 7 = 11, 11 > 9

- 4 + 9 = 13, 13 > 7

- 7 + 9 = 16, 16 > 4

- This set of numbers satisfies the triangle inequality.

Option 2: 18, 23, 41 does NOT form a triangle.

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