Question

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function
from A to B. Show that f is one-one.

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

Applications of Mathematics

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in ...

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

Q: What does the Associative law of multiplication states? Explain giving example.

A: Click to see the answer

Q: Ikentie each esxpression a lolynomal, for each pognomia, quue te Legre and idennA aus each eupressiO...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Label the following statements as being true or false. a) An inner product is a scalar-valued functi...

A: Hey since there are multiple subparts the first four is answered. If any other subpart is required k...

Q: Write the equation of the circle in standard form. The coordinates of the center and the radius for ...

A: It is required to write the equation of the circle in the standard form.From the given figure the ce...

Q: Simplia Qach expression 63.To C222) 657 Cm+5)+b 67 318 ('bn * +32 27 Propery to rewrte Sums a s dist...

A: Given,

Q: Prove that if B is symmetric, then ||B|| is the largest eigenvalue of B.

A: Calculation:To find the norm of the matrices:

Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are ...

Q: A Basketball player has successfully made 36 of his last 48 free throws. Find the number of consecut...

A: Let x be the number of free throws.

Q: A person is holding two drill bits, one is 7/16 and the other is 25/64, and wants to first drill a h...

A: We need to expand 7/16 such that its denominator becomes 64.We can write 7/16 as,

Q: A manufacturer produces three products x, y, z which he sells in two markets.Annual sales are indica...

A: The matrix for the product x, y, z per market be denoted by matrix A:

Q: Show that the function f : N → N, given by f(x) = 2x, is one-one but not onto.

A: If f(x1) ≠ f(x2) then we get: 

Q: Given that log 2 = x, log 3 = y and        log 7= z, express the following expression in terms of x,...

A: We will write 0.3 as fraction. That is 3/10

Q: The sum of the first and last of four consecutive odd integers is 52. What are the four integers?

A: Given:The sum of the first and last of four consecutive odd integers is 52. What are the four intege...

Q: A box is 24 inches long, 10 inches wide, and 10 inches deep. About how many cubic feet is the box? ...

A: Click to see the answer

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 local landscape supplier has delivered 10 cubic yardds (yd3) of hardwood mulch to your residence a...

A: Given that  the shovel I'll use is 9 inches wide, 11 inches long, 3 inches deep.So volume of the sho...

Q: A man weighing 600 kg has been losing 3.12% of his weight each month with some heavy exercises and e...

A: To determine the weight of man after 20 months.

Q: Jenna and her friend, Khalil, are having a contest to see who can save the most money. Jenna has alr...

A: Let x represent the number of weeks and y represent the total amount of money saved.

Q: Determine the center and radius of each circle and sketch the graph  x^2+y^2=16

A: Given equation of circle:

Q: Passing through (-3,7) and perpendicular to the line with equation 2x+3y=7The answer is provided in ...

A: Given equation of line

Q: Show that each of the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by(i) R = {(a, b) : |a –...

A: Given: Show that each of the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by(i) R = {(a, b)...

Q: Let T be a linear operator on a finite-dimensional vector space V. Suppose that V is a direct sum of...

A: Given that T be a linear operator on a finite-dimensional vector space,and let W1, W2, W3, … Wk be T...

Q: wered ify: 36x°y? . 36xy? 3..2 les to represent positive values. DVideo O Post to forum on

A: Given:

Q: A bicyclist is traveling at 6.7 meters per second. Which of the following mathematical operations wo...

A: Given:A bicyclist is traveling at 6.7 meters per second.

Q: The quadratic formula is used to solve for x in equations taking the form of a quadratic equation, a...

A: Solve the given expression for x as follows.

Q: Solve the equation in the attached image:

A: Given if p=124

Q: [Date,2008,2010,2012,2014], [Percentage,63.0,63.7,64.3,64.7] The table shows the percentage of child...

A: Consider the given data as follows.

Q: Two cubes have side lengths that are equal to 2x and 4x. How many times greater than the surface of ...

A: Surface area of cube of side length "a" is given by 6a^2. 

Q: The sum of 3 consecutive even numbers is 78. Find the numbers.

A: Given: The sum of 3 consecutive even numbers is 78. Find the numbers.

Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are th...

A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old...

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = −2 log3(3 − ...

A: To sketch the graph of the function and analyse it completely.

Q: TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro)....

A: TravelEz sells 1.40 dollars for 1 euro. At the end of the trip, Sophie exchanged 40 euros to dollars...

Q: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

A: The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the...

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: 5.Consider the following system of linear equations: 4x +2y = 25 4x – y = -5 If y = 10 in the soluti...

A: Given y=10 is in the solution. We have to plug y=10 in any of the two equations and solve for x.

Q: Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 =...

A: If T is an operator in an inner product space V over the field F together with an inner product, i.e...

Q: The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen ec...

A: The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen ec...

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

A: Given pair of linear equations:

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: Show that the function f : N→ N, given by f (1) = f(2) = 1 and f(x) = x – 1,for every x > 2, is o...

A: Given, the function f : N→ N, given by f (1) = f(2) = 1 and f(x) = x – 1, for every x > 2.

Q: A lemonade consists of 6% of lemon juice and a strawberry juice consists of 15% pure fruit juice. Ho...

A: Click to see the answer

Q: f(x)=x/x+8 , g(x)=3x-8 I don't understand why my answer is incorrect, what am I doing wrong?

A: Given:

Q: The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what dim...

A: Given:The box (or cuboid) has the height 8 inches(i.e. h = 8 in.) and the perimeter of the top of bo...

Q: I need help solving this question

A: Given:

Q: What is the measure fo angle PKO if the measure of angle PKM is 135 degrees?

A: Given,

Q: The lengths of two sides of a triangle are 2 and 6. find the range of values for the possible length...

A: Given:The lengths of two sides of a triangle are 2 and 6.