Final answer:
To solve the inequality x-2>5, add 2 to both sides of the inequality. The solution set for x is all values greater than 7. From the given possible values for x, the solution set is {8,9,10}.
Step-by-step explanation:
To solve the inequality x-2>5, we need to isolate x. We can do this by adding 2 to both sides of the inequality:
x - 2 + 2 > 5 + 2
This simplifies to:
x > 7
The solution set for x-2>5 is all values of x that are greater than 7. From the given possible values for x, {4,5,6,7,8,9,10}, the solution set is {8,9,10}.