Final answer:
Without the full inequality it's impossible to provide a precise largest integer value for x but assuming the missing part of the inequality implies 'greater than zero', the largest integer value that satisfies the inequality 5x - 9 > 0 would be the largest integer possible as no upper bound is specified, with the smallest possible integer being 2.
Step-by-step explanation:
To determine the largest integer value of x in the solution of the given inequality 5x + 8 - 17, it seems there is a part of the inequality missing to provide a full solution. However, assuming the inequality is meant to be 5x + 8 - 17 > 0, we would first simplify the equation:
5x - 9 > 0
Next, we solve the inequality for x:
5x > 9
Divide both sides by 5:
x > 9/5
This simplifies to x > 1.8. Since we are looking for the largest integer value for x that still satisfies this inequality, we must choose an integer larger than 1.8. The smallest integer greater than 1.8 is 2, thus x could be 2 or any larger integer.
To ensure we choose the largest possible integer, we must refer to the upper bound if provided. If not provided, any integer greater than 2 would satisfy the inequality.