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Considering all values of α and b for which α + b is at most 9, α is at least 2, and b is at least -2, what is the minimum value of b - α?
- a)0
- b)-7
- c)-11
- d)-13
- e)-15
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Considering all values of α and b for which α + b is at mo...
The correct answer is d. The first step in solving this problem is to rewrite the information in mathematical terms, as follows:
α + b is at most 9 means that α + b < 9
α is at least 2 means that α > 2
b is at least -2 means that b > -2
Given the information above, the value of b - α will be least when b is at its minimum value of -2. In that case, since α + b < 9, then α + (-2) < 9, and a < 11. Therefore, at its minimum, b - α is equivalent to -2 - 11, or -13.
α + b is at most 9 means that α + b < 9
α is at least 2 means that α > 2
b is at least -2 means that b > -2
Given the information above, the value of b - α will be least when b is at its minimum value of -2. In that case, since α + b < 9, then α + (-2) < 9, and a < 11. Therefore, at its minimum, b - α is equivalent to -2 - 11, or -13.
Most Upvoted Answer
Considering all values of α and b for which α + b is at mo...
Values of what? Can you please provide more context or clarify your question?
Community Answer
Considering all values of α and b for which α + b is at mo...
The correct answer is d. The first step in solving this problem is to rewrite the information in mathematical terms, as follows:
α + b is at most 9 means that α + b < 9
α is at least 2 means that α > 2
b is at least -2 means that b > -2
Given the information above, the value of b - α will be least when b is at its minimum value of -2. In that case, since α + b < 9, then α + (-2) < 9, and a < 11. Therefore, at its minimum, b - α is equivalent to -2 - 11, or -13.
α + b is at most 9 means that α + b < 9
α is at least 2 means that α > 2
b is at least -2 means that b > -2
Given the information above, the value of b - α will be least when b is at its minimum value of -2. In that case, since α + b < 9, then α + (-2) < 9, and a < 11. Therefore, at its minimum, b - α is equivalent to -2 - 11, or -13.
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