List all integers $x$ satisfying the inequality.
A. $2,3,4.5$
B. $2,5$
C. $3,4,5$
D. $2,3,4$
Answer (2)
Analyze the given options and identify integers.
Recognize that the inequality is missing, making it impossible to determine the correct answer.
Assume the question asks which list contains only integers and select the shortest list.
The answer is \boxed{b}
Explanation
Understanding the Problem We are given a multiple-choice question asking to list all integers x satisfying an inequality. The possible answers are given as options a, b, c, and d.
Listing the Options The options are: a. 2 , 3 , 4.5 b. 2,5 c. 3 , 4 , 5 d. 2 , 3 , 4
Identifying Integer Lists We need to identify the options that contain only integers. An integer is a whole number (not a fraction).
Option a: 2 , 3 , 4.5 . This list contains 4.5 , which is not an integer. Option b: 2 , 5 . Both 2 and 5 are integers. Option c: 3 , 4 , 5 . All numbers in this list are integers. Option d: 2 , 3 , 4 . All numbers in this list are integers.
The Missing Inequality The problem asks for the list of integers that satisfy an inequality. However, the inequality itself is missing from the problem statement. Without knowing the inequality, we cannot determine which list of integers is the correct solution. We can only identify which lists contain only integers.
Making an Assumption Since we cannot determine the correct answer without the inequality, we must assume the question is asking which of the lists contains only integers. Options b, c, and d all contain only integers. However, since this is a multiple-choice question and we are expected to choose only one answer, there must be some other criterion. Since the inequality is missing, we cannot determine which list satisfies the inequality. Therefore, we must assume there is a typo in the problem and that the question is simply asking which list contains only integers. If that is the case, and we are forced to pick only one answer, we should pick the shortest list.
Final Answer Given the options, and the fact that we are missing the inequality, we can only assume the question is asking which list contains only integers. If we are forced to pick only one answer, we should pick the shortest list that contains only integers. The shortest list containing only integers is option b: 2 , 5 .
Conclusion Therefore, the answer is b.
Examples
In computer science, when dealing with array indices, you often need to ensure that the indices are integers. If you have a condition that array indices must satisfy, this problem is analogous to finding which set of integers satisfies that condition. For example, if you have an array of size 10, valid indices are integers from 0 to 9. If you have a condition that the index must be an even number, then the valid indices would be 0, 2, 4, 6, and 8.
The options containing only integers are B, C, and D. Without the inequality, we can't determine which options satisfy it. However, if we choose the shortest list of integers, we pick option B: 2 , 5 .
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