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:
6
Step-by-step explanation:
3x plus 12= 8x -18
subtract twelve on both sides:
3x= 8x- 30
minus 8x on both sides:
-5= -30
divide:6
Answer:
volume is the space that fills the inside of the figure
Step-by-step explanation:
when you find the volume of the figure u have to find the space inside not surface area or the area
Elijahlouis, I will not sure how I am going on with my friends. we will need the following