Answer:
a) must be met
Step-by-step explanation:
We have two conditions:
a) For every 
and 
, there exists 
, such that 
.
b) There exists and such that 
.
We will prove that conditon a) is equivalent to 
If a) is not satisfied, then it would exist and 
such that, for every , 
. This implies that 
is a lower bound for A and in consequence
Then, 
implies a).
If is not satisfied then, 
and in consequence exists 
such that 
. Then 
and, for every ,
.
So, a) is not satisfied.
In conclusion, a) is equivalent to
Finally, observe that condition b) is not an appropiate condition to determine if or not. For example:
- <u>A={0}, B={1}</u>. b) is satisfied and
- <u>A={0}. B={-1,1}</u>. b) is satisfied and
The answer is a because there isn't any line of symmetry
Answer:11
Step-by-step explanation:
so that is easy it is rise over run!!!
y2-y1 over x2-x1!!! look at picture!!!
10% * $230.00 = $23.00
The discount is $23.00.
_____
Of course, you know that 10% expressed as a decimal is 0.10. Many calculators will calculate percentages directly. If yours doesn't, you can use the decimal equivalent. If you recognize that multiplying by 1/10 simply shifts the decimal point to the left one place, you can do the arithmetic in your head.
