SOLUTION: If a < b, show that a < (a + b)/2 < b. Note: The number (a + b)/2 is called the arithmetic mean of a and b.

SOLUTION: If a < b, show that a < (a + b)/2 < b. Note: The number (a + b)/2 is called the arithmetic mean of a and b.

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Question 1208895: If a < b, show that a < (a + b)/2 < b.
Note: The number (a + b)/2 is called the arithmetic mean of a and b.

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!




Add a to both sides:





Now add b to both sides:





Put  and  together and get:



Then divide through by 2



Edwin

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