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If the inequality |m| > |n| is true, then which of the following must be true?
- a)m = n
- b)m ≠ n
- c)m < n
- d)m > n
- e)m > 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the inequality |m| > |n| is true, then which of the following mu...
The correct answer is B. One possible method of solving this problem is to systematically eliminate wrong answer choices. It is given that |m| > |n|. Assuming that statement is true, then m cannot equal n because if m = n, then |m| = |n|; eliminate answer choice A. Pick numbers for the variables to more clearly see the relationships, as follows:
Answer choice B: When m = 3 and n = 2, |m| > |n| is true. Likewise, when m = -3 and n = -2, |m| > |n| is true. Therefore, answer choice B is correct.
Answer choice C: When m = 2 and n = 3, |m| > |n| is not true, so answer choice C is incorrect.
Answer choice D: When m = 3 and n = —4, |m| > |n| is not true, so answer choice D is incorrect.
Answer choice E: Because you are not given any information about n, you cannot determine a relationship, so answer choice E is incorrect.
Answer choice B: When m = 3 and n = 2, |m| > |n| is true. Likewise, when m = -3 and n = -2, |m| > |n| is true. Therefore, answer choice B is correct.
Answer choice C: When m = 2 and n = 3, |m| > |n| is not true, so answer choice C is incorrect.
Answer choice D: When m = 3 and n = —4, |m| > |n| is not true, so answer choice D is incorrect.
Answer choice E: Because you are not given any information about n, you cannot determine a relationship, so answer choice E is incorrect.
Most Upvoted Answer
If the inequality |m| > |n| is true, then which of the following mu...
If the inequality |m| < a="" is="" true,="" then="" it="" means="" that="" the="" absolute="" value="" of="" m="" is="" less="" than="" />
In other words, m is within the range of -a to a.
In other words, m is within the range of -a to a.
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If the inequality |m| > |n| is true, then which of the following must be true?a)m = nb)m ≠ nc)m < nd)m > ne)m > 0Correct answer is option 'B'. Can you explain this answer?
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