Compound Inequality: Acceptable Ages for US Air Force Academy

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Candidates for admission to the U.S. Air Force Academy must be at least 17 years old and not yet 22 years old by July 1 of the year they enter. The acceptable ages can be expressed as the compound inequality 17 ≤ A < 22. This formulation accurately reflects the age requirements for applicants. The discussion emphasizes the importance of clarity in mathematical expressions. Overall, the compound inequality correctly captures the age criteria for potential candidates.
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A question on my homework reads "A candiate for admission to the U.S. Air Force Academy must be at least 17 years old but not yet 22 years old on July 1 of the year of entering the academy. Write the acceptable ages as a compound inequality."

For an answer I got: {A:17 < (or = to) A < 22}. Is this right?
 
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GLprincess02 said:
A question on my homework reads "A candiate for admission to the U.S. Air Force Academy must be at least 17 years old but not yet 22 years old on July 1 of the year of entering the academy. Write the acceptable ages as a compound inequality."

For an answer I got: {A:17 < (or = to) A < 22}. Is this right?

Yes, you are correct
 
Great, thanks!
 
And cut out the "bump, bump, bump" stuff! Princess or not, people are not sitting around waiting for you to ask a question!
 
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks

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