The word, "twice", indicates multiplying by 2 and the word, "difference", indicates subtraction. Also, "is at least" would be greater than or equal to (using x to show the unknown number).
The inequality that would represent the entire problem would be: 2(x - 8) > 29
You can solve this inequality using the distributive property and inverse operations:
2(x - 8) > 29
2x - 16 > 29
2x - 16 + 16 > 29 + 16
2x > 45
2x/2 > 45/2
x > 22.5