Question

Given real numbers a and b, establish the following formulas: max{a, b} = 1/2(a +b+la – bl), min{a,b} =1.2 [(a+b- la – bl).

Answer 1

To establish the formulas for max{a, b} and min{a, b}, we can rewrite them using the properties of absolute value.

Step-by-step explanation:

To establish the formulas for max{a, b} and min{a, b}, we can use the properties of absolute value. For max{a, b}, we can rewrite it as max{a-b, 0} + b, which means we take the maximum of the difference between a and b and 0, and add it to b. For min{a, b}, we can rewrite it as min{a-b, 0} + a, which means we take the minimum of the difference between a and b and 0, and add it to a.