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
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3(2x + 7) = 9 ...divide both sides by 3
2x + 7 = 9/3
2x + 7 = 3
2x = 3 - 7
2x = -4
x = -4/2
x = -2
or this way..
3(2x + 7) = 9
6x + 21 = 9
6x = 9 - 21
6x = - 12
x = -12/6
x = -2
Answer:
200
Step-by-step explanation:
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