Final answer:
The solution to the inequality 2/7 + 6 < 2A is option B. 10. None of the other provided options satisfy the inequality when you convert 6 to 42/7, add it to 2/7 to get 44/7, and then divide by 2 to isolate A, which must be greater than 3.1429.
Step-by-step explanation:
The question asks us to select a possible solution that would satisfy the inequality 2/7 + 6 < 2A. To solve this, we will first add the fractions on the left side. The number 6 can be written as 42/7 (since 6 × 7/7 = 42/7), to have a common denominator with 2/7. Adding 2/7 to 42/7, we get 44/7, which is equal to 6.2857. Now our inequality looks like this:
44/7 < 2A
Next, we divide both sides by 2 to isolate A:
22/7 < A
The value of 22/7 is approximately 3.1429. So, we are looking for a value of A that is greater than 3.1429. Looking at the options given, B. 10 and C. 14 are greater than 3.1429, while A. -5 and D. -12 are not. However, we need to pick the option that is explicitly given in the question. Therefore, the correct option would be B. 10 since 10 is greater than 3.1429.