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.

Algebra ->  Inequalities -> 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.       Log On

Add a to both sides:





Now add b to both sides:





Put  and  together and get:



Then divide through by 2



Edwin