Which of the following sets are equal, Mathematics

Assignment Help:

Which of the following sets are equal?

S1 = {1, 2, 2, 3},

S2 = {x | x2 - 2x + 1 = 0},

S3 = {1, 2, 3},

S4 = {x | x3 - 6x2 + 11x - 6 = 0},

Ans: The elements of S2 and S4 is given like this:

S2 = {1, 1} and S4 = {1, 2, 3}

Two sets are said to be equal if both consist of same elements and the multiplicity of each element is similar in both the sets. This implies that S3 and S4 are equal. Although S1 has similar elements as in S3 and S4, it not equal as multiplicity of 2 in S1 is 2 whereas that in S3 and S4 is 1

 


Related Discussions:- Which of the following sets are equal

Prove that op=2ap, Two tangents PA and PB are drawn to the circle with cent...

Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans:    Given : - ∠APB = 120o Construction : -Join OP To prove : -

Point of intersection, Equation of line joining(0,0)and point of intersecti...

Equation of line joining(0,0)and point of intersection of X2+Y2+2XY=4 , 3x2+5y2-xy=7 is solution) The two equations above represent pair of straight lines. We can complete the sq

Find the maxima and minima - equal pi, 1) Find the maxima and minima of f(x...

1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving

Numerical analysis, Please,I Want to know and study for stability on predi...

Please,I Want to know and study for stability on predictor -corrector for numerical integration method

probability that the card is a 8 or an ace, A standard deck of cards conta...

A standard deck of cards contains 52 cards. One card is selected at random. Determine a)    The probability that the card is a 8 or an Ace? b)    The probability that the card is

Midpoint rule - approximating definite integrals, Midpoint Rule - Approxima...

Midpoint Rule - Approximating Definite Integrals This is the rule which should be somewhat well-known to you. We will divide the interval [a,b] into n subintervals of equal wid

Slope-intercept form, Slope-intercept form The ultimate special form of...

Slope-intercept form The ultimate special form of the equation of the line is possibly the one that most people are familiar with.  It is the slope-intercept form.  In this if

, What is 124 out of 300 in percent

What is 124 out of 300 in percent ?

Calculate plurality voting and borda count, Consider the following set of p...

Consider the following set of preference lists:                                                      Number of Voters (7)                 Rank            1          1

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd