1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brrunno [24]
3 years ago
13

Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of an equivalence re- lation that t

he others lack. a) {(0,0),(1,1),(2,2),(3,3)} b) {(0,0),(0,2),(2,0),(2,2),(2,3),(3,2),(3,3)} c) {(0,0),(1,1),(1,2),(2,1),(2,2),(3,3)} d) {(0,0),(1,1),(1,3),(2,2),(2,3),(3,1),(3,2), (3, 3)} e) {(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 2), (3, 3)}
Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

The relations that are equivalence relations are a) and c)

Step-by-step explanation:

A relation on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive

We are going to analyze each one.

a){ (0,0), (1,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

b){ (0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3) }

Is not an equivalence relation. Not reflexive: (1,1) is missing, not transitive: (0,2) and (2,3) are in the relation, but not (0,3)

c){ (0,0), (1,1), (1,2), (2,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

d){ (0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2) (3,3) }

Is not an equivalence relation. Not transitive: (1,3) and (3,2) are in the relation, but not (1,2)

e){ (0,0), (0,1) (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3) }

Is not an equivalence relation. Not symmetric: (1,2) is present, but not (2,1)Not transitive: (2,0) and (0,1) are in the relation, but not (2,1)

You might be interested in
kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bow
Murrr4er [49]

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

<h3>How many bowls of cereal would kathy have?</h3>

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

6 0
1 year ago
Which compound inequality is represented by the graph?
vampirchik [111]

The compound inequality represented by the graph shown in the image below is 5 < x < 9

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The image shown represents a compound inequality. It represents:

x > 5 and x < 9

The compound inequality represented by the graph shown in the image below is 5 < x < 9

Find out more on equation at: brainly.com/question/2972832

#SPJ1

5 0
2 years ago
What is 6(4x-3)-9x solved
GarryVolchara [31]
-18 +15x = y
Spam characters: aksjakfhakdjk
5 0
3 years ago
Please don't give me a link as an answer
tino4ka555 [31]

Answer:

x=2

Step-by-step explanation:

x+2=4

x=2

6 0
2 years ago
Read 2 more answers
Which list shows the numbers in order from largest to smallest?
Aleksandr-060686 [28]

Answer:

C

Step-by-step explanation:

10/3 = 3.33

3.3 = 3.3

pie =3.14

square root of 8 =2.8

4 0
3 years ago
Other questions:
  • What comes after 7 1/4 on a number line
    10·2 answers
  • Find the arc that is congruent to arc BF
    15·1 answer
  • Whats the answer to this?
    8·2 answers
  • Help me which one is correct?
    7·2 answers
  • Dante wants to buy a scooter that usually sells for . The store is having a sale and all $85.99merchandise is discounted by .15%
    15·1 answer
  • Choose the correct simplification of the expression a2 ⋅ a3.
    6·1 answer
  • Simplify x + 6.2 + 8.5.<br><br> 6.2x + 8.5<br> x + 14.7<br> 14.7x
    14·2 answers
  • Help! ASAP Giving brainly answer​
    8·2 answers
  • Help please!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • PLEASE HELP!!!!!! WHATS THE ANSWER
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!