SOLUTION: 1) Suppose that |a|≤ 2 and |b|≤3. a) What is the largest possible value of |a+b|? b) What is the largest possible value of |a+b| if a and b have opposite signs?

Algebra ->  Equations -> SOLUTION: 1) Suppose that |a|≤ 2 and |b|≤3. a) What is the largest possible value of |a+b|? b) What is the largest possible value of |a+b| if a and b have opposite signs?       Log On


   

Question 424827: 1) Suppose that |a|≤ 2 and |b|≤3.
a) What is the largest possible value of |a+b|?
b) What is the largest possible value of |a+b| if a and b have opposite signs?

Thank you for your help
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1) Suppose that |a|≤ 2 and |b|≤3.
-2<= a <=2
-3<= b <=3
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a) What is the largest possible value of |a+b|?
Ans: |a+b|= |2+3| = 5
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b) What is the largest possible value of |a+b| if a and b have opposite signs?
Ans: b = 3; a is negative but infinitesimly small
|a+b| has limit 3
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Cheers,
Stan H.