Final answer:
The correct answer is option D. x > 5, because it satisfies the condition of picking a number greater than 5, which includes numbers less than 7 as well.
Step-by-step explanation:
The correct answer is option D. x > 5. When considering the statement "you need to pick a number that was less than 7 OR a number greater than 5", we can break this into two parts. The first part, 'a number that is less than 7' would include all numbers less than 7.
When we say that a number is less than 7 OR greater than 5, it means that the number should satisfy at least one of the given conditions. In this case, the condition that is satisfied is that the number is greater than 5, because a number less than 7 is automatically greater than 5. Therefore, the solution is x > 5.
For example, if we choose x = 6, it is greater than 5 and also less than 7, so it satisfies the given conditions.
The second part, 'a number greater than 5', includes all numbers greater than 5. The keyword 'OR' in this context allows for a number that satisfies either condition. Therefore, when we combine the sets of numbers from both parts, we find that any number greater than 5 will satisfy the condition since it covers numbers greater than 5 and also includes numbers less than 7.