Question

Show that the relation R in the set R of real numbers, defined as
R = {(a, b) : a ≤ b2} is neither reflexive nor symmetric nor transitive.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Other

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 rati...

A: Given that The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain...

Q: Solve the following equation: 52x − 5x − 12 = 0

A: Given equation is

Q: In physics, Hooke's law states that (within certain limits) there is a linear relation between the l...

A: From the given table we try to estimate a line (using linear regression formula).

Q: Find the minimal solution of x+2y-z = 1; 2x+3y+z = 2; 4x+7y-z = 4.

A: Given:

Q: You are an engineer with Ace Foundations, Inc. Your company has been hired to build a 165-foot found...

A: Click to see the answer

Q: I am needing help with question 20. I do not understand it.

A: Given:The length of the rectangle is twice the width and perimeter of the rectangle is 30cm.Let L be...

Q: The price of a sandwich decreases from $8 to $6. What is the percentage decrease in the price of the...

A: Given:The price of sandwich decreased from $8 to $6.First obtain the difference in the price of sand...

Q: 4x-3>21         or  -3x>-9

A: To determine the solution of the inequality.

Q: Alex, Beverly and cal lives o. The same road. Alex lives 10miles from Beverly, and Cal lives 2miles ...

A: We are given that Alex, Beverly and Cal live on the same road. Alex lives 10miles from Beverly, and ...

Q: A small publishing company is planning to publish a new book. The production costs will include one-...

A: Let for x books produced the costs from the two methods will be the same.

Q: Evaluate for n equals -2 n2+9n+3

A: The given expression is

Q: A circular garden has a diameter of 12 feet. About how much trim is needed to surround the garden by...

A: Find the circumference of garden.

Q: Formulate the following problem as a part of equations, and hence find theirsolution. 2 women and 5 ...

A: Given:Two women and five men can complete the embroidery work in 4 days, while 3 women and 6 men can...

Q: Pat and Chris have the same birthday. Pat is twice as old as Chris was when Pat was as old as Chris ...

A: Click to see the answer

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x ...

A: Given:

Q: How do I solve?

A: Given:In 940 days the radioactivity of a sample decreases by 71 percent.

Q: A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as...

A: Given

Q: How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to ob...

A: Let x gallons of 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to...

Q: column 1 with CtS each AB match in equrcuent 1 6. 9 - ) 9-6 not egualent to c comy

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, ...

A: Given that  0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite

Q: C of linear equations has unique solution, no solution, or infinitely many solutions? In case there ...

A: Check the system of linear equations has unique solution, no solution, or infinitely many solutions.

Q: Solve the following pair of linear equations by the substitution and cross- multiplication methods:8...

A: Given pair of linear equations:

Q: is 7+2(3-2) equal to 17? if not then why.

A: Click to see the answer

Q: Explain identity matrix along with an example.

A: Identity matrix is a matrix in which all the diagonal elements are 1’s and rest are 0’s.

Q: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars.What is the original pr...

A: Given that the customer pays 50dollafor a coffee maker after a discount of  dollars.

Q: Jessica's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Je...

A: Given,Jessica's Coffee Shop makes a blend that is a mixture of two types of coffee.Type A coffee cos...

Q: Prove that if A and B are similar matrices, then det(A)=det(B).

A: Suppose that A and B are similar. Then there exists a nonsingular matrix S such that

Q: When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find  the remainder.

A: Given:When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find  the remainder. 

Q: Prove that an upper or lower triangular n x n matrix is invertible if and only if all its diagonal e...

A: Consider A be a n x n upper or lower triangular matrix

Q: Let R be the relation defined in the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b) : both a and b are...

A: Given, Let R be the relation defined in the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b) : both a an...

Q: Evaluate the determinants of the matrices below by any legitimate method. In each case C is the fiel...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: A washer costs 25% more than a dryer. If the store clerk gave a 10% discount for the dryer and a 20%...

A: Let x be the cost of dryer    

Q: what is the measure of angle LKO if the measure of angle NKO is 25 degrees?

A: It is given that the measure of the angle,

Q: How much water should be added to 16 ml of​ 12% alcohol solution to reduce the concentration to​ 8%?

A: Find the amount of water.

Q: Solve for the indicated variable. P= a+b+c for c.

A: Given that P= a+b+cWe have to solve for c. That means we need c alone on a side

Q: How do you answer question 4? (Disregard the "do: B, C, E)

A: a) The given function is,

Q: Prove that the relation of congruence is an equivalence relation.

A: Click to see the answer

Q: How many times does 641 go into 2^2^5

A: We are going to calculate that how many times does 641 goes into 2^2^5.

Q: Determine the center and radius of each circle and sketch the graph  x^2+6x+y^2+8y=0

A: Given,

Q: Write the following comparison as a ratio reduced to lowest terms.143inches to 14feet

A: Click to see the answer

Q: The mean of five numbers is 5. If one of the five numbers is removed, the mean becomes 6. What is th...

A: The mean of five numbers is 5.So total of those 5 numbers = 5*5= 25

Q: Solve the following inequality for x:2x2– 2 ≤ 3x

A: Given:

Q: 8000$ is invested in an account that yeilds 6% interest per year. After howmany years will the accou...

A: Let after x years the account will be worth  $13709.60 

Q: ​f(x)=−22x+4 and ​g(x)=x^2−22. How do I find the difference (g-f)(x)

A: Given,

Q: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what tim...

A: Let B alone do the work in x days.Then B’s one day work = 1/x.

Q: James invested half of his money in land, a tenth in stock, and a twentieth in saving bonds. Then, h...

A: Let x be the total amount saved or invested.

Q: A vehicle traveled 200 miles on 14_1/6 gallons of gas. How many miles per gallon did it get?

A: It is given that the vehicle travels at a speed of

Q: Solve the equation : 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

A: The given equation is,