Question

Given that w =(x + y)/z

Answer 1

The lower and upper bounds of w is 3 and 4.16

What is Upper bound and Lower bound?

An element of K that is bigger than or equal to every element of S is referred to as an upper bound or majorant of S in mathematics, specifically in order theory. In contrast, a lower bound or minorant of S is defined as an element of K that is smaller than or equal to every element of S. A set that has an upper (or lower) bound is said to be majorized[1] (or minorized, respectively) from above (or below) by that constraint.

Given that,

w =(x + y)/z

x = 2.5 ± 0.5,

y = 1.5 ± 0.5

and, z = 1.1 ± 0.1

Substituting the values in the equation to find upper bound

x = 3.0

y = 2.0

z = 1.2

Then,

w = (3 + 2)/1.2

w = 5/1.2

w = 4.16

Substituting the values in the equation to find lower bound

x = 2.0

y = 1.0

z = 1.0

Then,

w = (2 + 1)/1

w = 3/1

w = 3

Hence, The upper bound of w is 4.16

The lower bound of w is 3

To learn more Lower bound and Upper bound click on the link

brainly.com/question/28725724

#SPJ13