Question

02. Let π = {β1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) π΄ = {π₯ β π/π₯ + 1 = 3} and π΅ = {π₯ β π/2π₯ β 3 = 1} b) π΄ = {π₯ β π/π₯ < 0} and π΅ = {π₯ β π/π₯ + 1 = 0} c) π΄ = {π₯ β π/0 < π₯ < 5} and π΅ = {π₯ β π/0 β€ π₯ β€ 5 } d) π΄ = {π₯ β π/π₯ 2 β 5π₯ + 6 = 0} and π΅ = {π₯ β π/π₯ < 5}

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Neal

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a) UMA={π₯ β π/π₯ + 1 = 3}
Do conjunto U, apenas 2+1=3 entΓ£o A={2}
B = {π₯ β π/2π₯ β 3 = 1}
2x-3=1\implica 2x=4\implica x=2
EntΓ£o B={2}
Portanto A = B
b) A={-1}, resolver para B tambΓ©m dΓ‘ {-1}, portanto eles sΓ£o iguais.
c) A={1/2, 2, 4, 1/3} mas B={1/2, 2, 4, 1/3, 5} entΓ£o eles nΓ£o sΓ£o iguais porque 5 nΓ£o estΓ‘ no conjunto A.
d) Resolver a equaΓ§Γ£o quadrΓ‘tica dΓ‘ x=2,3 entΓ£o A={2,3}
B = {-1, 1/2, 2, 4, 1/3} entΓ£o os conjuntos nΓ£o sΓ£o iguais.

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