02. Let 𝑈 = {−1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) 𝐴 = {𝑥 ∈ 𝑈/𝑥 + 1 = 3} and 𝐵 = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} b) 𝐴 = {𝑥 ∈ 𝑈/𝑥 < 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 + 1 = 0} c) 𝐴 = {𝑥 ∈ 𝑈/0 < 𝑥 < 5} and 𝐵 = {𝑥 ∈ 𝑈/0 ≤ 𝑥 ≤ 5 } d) 𝐴 = {𝑥 ∈ 𝑈/𝑥 2 − 5𝑥 + 6 = 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 < 5}

Name: Solved: 02. Let 𝑈 = {−1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) 𝐴 = {𝑥 ∈ 𝑈/𝑥 + 1 = 3} and 𝐵 = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} b) 𝐴 = {𝑥 ∈ 𝑈/𝑥 < 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 + 1 = 0} c) 𝐴 = {𝑥 ∈ 𝑈/0 < 𝑥 < 5} and 𝐵 = {𝑥 ∈ 𝑈/0 ≤ 𝑥 ≤ 5 } d) 𝐴 = {𝑥 ∈ 𝑈/𝑥 2 − 5𝑥 + 6 = 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 < 5} - MathMaster
Brand: MathMaster
Rating: 4.9 (161 reviews)

161

likes

805 views

Answer to a math question 02. Let 𝑈 = {−1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) 𝐴 = {𝑥 ∈ 𝑈/𝑥 + 1 = 3} and 𝐵 = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} b) 𝐴 = {𝑥 ∈ 𝑈/𝑥 < 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 + 1 = 0} c) 𝐴 = {𝑥 ∈ 𝑈/0 < 𝑥 < 5} and 𝐵 = {𝑥 ∈ 𝑈/0 ≤ 𝑥 ≤ 5 } d) 𝐴 = {𝑥 ∈ 𝑈/𝑥 2 − 5𝑥 + 6 = 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 < 5}

$Expert avatar$

Neal

4.5

105 Answers

a) UMA={𝑥 ∈ 𝑈/𝑥 + 1 = 3} Do conjunto U, apenas 2+1=3 então A={2} B = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} 2x-3=1\implica 2x=4\implica x=2 Então B={2} Portanto A = B b) A={-1}, resolver para B também dá {-1}, portanto eles são iguais. c) A={1/2, 2, 4, 1/3} mas B={1/2, 2, 4, 1/3, 5} então eles não são iguais porque 5 não está no conjunto A. d) Resolver a equação quadrática dá x=2,3 então A={2,3} B = {-1, 1/2, 2, 4, 1/3} então os conjuntos não são iguais.

Frequently asked questions (FAQs)

What is the value of sine and cosine of an angle in the unit circle when the angle measures 45 degrees?

What is the factored form of the quadratic equation 2x^2 + 5x - 3?

What is the domain of the trigonometric function f(x) = sin(x) - cos(2x) in radians?

New questions in Mathematics

How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117

Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1

The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?

The derivative of a power is obtained just by subtracting 1 from the power True or false

Given that y = ×(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.