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If a + b = 25 and a > 4 then which of the following must be true?
- a)a = 22
- b)b < 21
- c)b > 4
- d)b = 0
- e)a < 25
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If a + b = 25 and a > 4 then which of the following must be true?a)...
Explanation:
Given:
a + b = 25
a > 4
Analysis:
From the given information, we can deduce that if a is greater than 4, then b must be less than 21 in order for their sum to be 25. This can be understood by realizing that if a is greater than 4, it must be at least 5. Therefore, b must be less than 20 in order to reach a sum of 25.
Reasoning:
- Since a is greater than 4, the minimum value it can take is 5.
- If a = 5, then b = 20 (5 + 20 = 25)
- If a is greater than 5, then b must be less than 20 to maintain the sum of 25.
Conclusion:
Therefore, the statement "b < 21"="" must="" be="" true,="" as="" it="" is="" a="" logical="" consequence="" of="" the="" given="" conditions.="" 21"="" must="" be="" true,="" as="" it="" is="" a="" logical="" consequence="" of="" the="" given="" />
Given:
a + b = 25
a > 4
Analysis:
From the given information, we can deduce that if a is greater than 4, then b must be less than 21 in order for their sum to be 25. This can be understood by realizing that if a is greater than 4, it must be at least 5. Therefore, b must be less than 20 in order to reach a sum of 25.
Reasoning:
- Since a is greater than 4, the minimum value it can take is 5.
- If a = 5, then b = 20 (5 + 20 = 25)
- If a is greater than 5, then b must be less than 20 to maintain the sum of 25.
Conclusion:
Therefore, the statement "b < 21"="" must="" be="" true,="" as="" it="" is="" a="" logical="" consequence="" of="" the="" given="" conditions.="" 21"="" must="" be="" true,="" as="" it="" is="" a="" logical="" consequence="" of="" the="" given="" />
Community Answer
If a + b = 25 and a > 4 then which of the following must be true?a)...
The correct answer will be the statement that is always true. Because a is greater than 4, and 25 − 4 = 21, b must always be less than 21.
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If a + b = 25 and a > 4 then which of the following must be true?a)a = 22b)b < 21c)b > 4d)b = 0e)a < 25Correct answer is option 'B'. Can you explain this answer?
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If a + b = 25 and a > 4 then which of the following must be true?a)a = 22b)b < 21c)b > 4d)b = 0e)a < 25Correct answer is option 'B'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about If a + b = 25 and a > 4 then which of the following must be true?a)a = 22b)b < 21c)b > 4d)b = 0e)a < 25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a + b = 25 and a > 4 then which of the following must be true?a)a = 22b)b < 21c)b > 4d)b = 0e)a < 25Correct answer is option 'B'. Can you explain this answer?.
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