Final answer:
To prove the inequality n+5>10, we substitute each value from the set 2, 4, 6, 8, 10 into the inequality and check if the result is true. The values 6, 8, and 10 satisfy the inequality.
Step-by-step explanation:
To prove the inequality n+5>10, we need to find values from the set 2, 4, 6, 8, 10 that satisfy the inequality. We can do this by substituting each value for n in the inequality and checking if the result is true.
Let's go through each value:
For n = 2, 2 + 5 = 7 which is not greater than 10.
For n = 4, 4 + 5 = 9 which is not greater than 10.
For n = 6, 6 + 5 = 11 which is greater than 10. So, 6 satisfies the inequality.
For n = 8, 8 + 5 = 13 which is greater than 10. So, 8 satisfies the inequality.
For n = 10, 10 + 5 = 15 which is greater than 10. So, 10 satisfies the inequality.
Therefore, the values 6, 8, and 10 from the set prove the inequality n+5>10 is true.