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
borishaifa [10]
3 years ago
6

e) Given the following: Let X = {1, 2, 3, 4) and a relation R on X as R= {(1,2), (2,3), (3,4)}. Find the reflexive and transitiv

e closure of R.
Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

The answer is \{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}

Step-by-step explanation:

Remember that a reflexive relation R\subset \mathcal{P}(X), where \mathcal{P}(X) is the power set of X, is one which conteins the ordered pairs of the form (a,a), for a\in X.

So, As the reflexive and transitive closure of R (that we will denote by \overline{R}) is in particular reflexive, we must add to R  the elements \{(1,1) , (2,2),(3,3),(4,4) \}

A transitive relation R is one in which if the pair (a,b) and the pair (b,c) are in there, then the pair (a,c) must be there too.

So, to complete the relation R to be reflexive and transitive we must add the pair (1,3) (because (1,2),(2,3) are in R), the pair (2,4), and the pair (1,4) because we added the pair (2,4).

Therfore we have that \overline{R}=\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}.

You might be interested in
Which are the solutions of x² = 19x + 12​
Sever21 [200]

Answer:

\{x=\frac{19-\sqrt{409} }{2}\ , \  x=\frac{19+\sqrt{409} }{2}\}

Step-by-step explanation:

x² = 19x + 12

⇔ x² - 19x - 12 = 0

Calculating the discriminant :

b² - 4ac = (-19)² - 4×1×(-12) = 409

The discriminant is positive ,then the equation has two solutions.

x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}

4 0
2 years ago
P/5=30<br> what does p equal?<br> p=?
AURORKA [14]

Answer:

P= 150

Substitute P with 150 and you will get 30

8 0
2 years ago
Read 2 more answers
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x , y) point
vlabodo [156]
The vertex to y=x^2+8x-23 is (4,-7)
3 0
3 years ago
Read 2 more answers
Simplify the following 6(1/2+1/3)​
gogolik [260]

Answer:

5

Step-by-step explanation:

use the distributive property

6 * 1/2 = 3

6 * 1/3 = 2

3 + 2 = 5

<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>

<em><u>-Lil G</u></em>

8 0
2 years ago
What is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B44mx%5E%7B3%7D%20n%5E%7B11%7D" id="TexFormula1" title="\sqrt{44mx^{3} n^{11}
My name is Ann [436]
2xn^5 √ 11mxn
good luck pls mark brainliest
5 0
3 years ago
Other questions:
  • Jorge has a bag containing 3 red coins and 3 black coins.He pickes a coin from the bag, looks at the color, and does not replace
    5·2 answers
  • Which point lies outside the circle with equation (x - 2)2 + (y + 3)2 = 4?
    7·2 answers
  • PLEASE HELP ILL GIVE YOU BRAINLIEST!!! Which number line represents the number 0.7?
    11·1 answer
  • Question #5: Solve the system of equations below using substitution.
    10·1 answer
  • ANSWER QUICKLY PLEASE. WILL BE AWARDED BRAINLIEST ANSWER
    12·1 answer
  • Two Families went to Rollercoaster World. The Brown Family paid $170 for 3 children and 2 adults. The Peckham Family paid $360 f
    12·1 answer
  • A large bowl contains 10 small balls and each ball has a color and a number. The 10 balls are denoted by B1, B2, B3, B4, R1, R2,
    7·1 answer
  • Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
    15·1 answer
  • A)Agudos<br> B)suplementares <br> C)congruentes<br> D)complementares <br> E)Rasos
    12·1 answer
  • The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on th
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!