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}
161
likes805 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}
Neal
4.5105 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)
Math question: "What are the x-intercepts of the quadratic function y = x^2 - 4x + 3?"
+
What is the volume of a rectangular prism with length 10cm, width 5cm, and height 4cm?
+
Math question: Find the limit as x approaches 0 of (e^x - 1 - x) / (sin(2x) - 2x) using L'Hospital's Rule.
+
New questions in Mathematics