Answer:
a is an element of A; a is a rational number
(a+1) is element of B
Step-by-step explanation:
(a+1) = sup(A), which are the elements of B.
(a+1) + 1 = sup(B)
Recall a+1 = sup(A),
Therefore,
sup(A )+ 1 = sup(B)
sup(B) = sup(A) + 1 ___proved
Sup(A) means supremum of set A. It means least element of another set (say set B), that is greater than every element in set A
Hi there!
There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the
adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.
Hope this helps!! :)
i will say you have the right answer selected in the photo
<h2>
Answer:</h2>
The probability that a code starts with the number 7 is:
1/10
<h2>
Step-by-step explanation:</h2>
There are total 10 digits:
0 1 2 3 4 5 6 7 8 9
Also, the total number of codes that are possible using these digits are:
1000
( Since there are 10 choices for first place, 10 for second and 10 for third as well
Hence, total possibilities are: 10×10×10=1000 )
Also, if the first place of the code is fixed with number 7.
So, we need to chose the digits for second and third place.
Hence, total codes whose first digit is 7 are:
100
( Since the choice for first place is fixed and for second and third place we have 10 choices i.e. total such cases are: 1×10×10=100 )
Hence, the probability is calculated as:
Probability=100/1000
=1/10