Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
b.
821.9 cube meters
Step-by-step explanation:
They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room
<h3>System of equation</h3>
They consists of equations and unknown variables
Let the number of PCs be x
Let the number of Mac be y
If Mke has 12 computers, then;
x + y = 12
If there are two Macs for every PC in his classroom, then;
y = 2x
Substitute
x + 2x = 12
3x = 12
x = 4
Recall y = 2x
y = 2(4)
y = 8
There are 4 PCs and 8 Mac in the room
Learn more on system of equations here; brainly.com/question/14323743
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Answer:
8 cubic units
Step-by-step explanation:
Count it. It's all visible for this question.