Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let
denote a set of elements.
would denote the set of all ordered pairs of elements of
.
For example, with
,
and
are both members of
. However,
because the pairs are ordered.
A relation
on
is a subset of
. For any two elements
,
if and only if the ordered pair
is in
.
A relation
on set
is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation
needs to ensure that
(that is:
.)
- Symmetry: for any
,
if and only if
. In other words, either both
and
are in
, or neither is in
.
- Transitivity: for any
, if
and
, then
. In other words, if
and
are both in
, then
also needs to be in
.
The relation
(on
) in this question is indeed reflexive.
,
, and
(one pair for each element of
) are all elements of
.
isn't symmetric.
but
(the pairs in
are all ordered.) In other words,
isn't equivalent to
under
even though
.
Neither is
transitive.
and
. However,
. In other words, under relation
,
and
does not imply
.
ANSWER- x-axis
If the point is graphed, the point is not in any quadrants, there for your only choices are x and y axis. When you look at the point, you notice the point is on the horizontal line and that lead to the conclusion, its on the x-axis.
I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.
Answer:
There are 60 total questions on the course exam.
Step-by-step explanation:
Given that:
Number of questions finished by Jasmine = 12
Percentage shown on the bar = 20%
The total number of questions will be 100%, therefore, 20% of the questions are equal to 12.
Let,
x be the total number of questions on the course exam
20% of x = 12

Dividing both sides by 0.2

Hence,
There are 60 total questions on the course exam.