Question

41. Em cada item determine AUB e AB.

a) A={XER|-35x<2} e B={XER|42X2-2}

b) A={XER|0
c) A = J-1,6[ e B=(-1,6]

d) A=]-7,5] e B=(-3,7[

Answer 1

a) A={XER|-35x<2}

$-35x<2\quad :\quad \begin{bmatrix}\mathrm{Solucao:}\:&\:x>-\frac{2}{35}\:\\ \:\mathrm{Decimal:}&\:x>-0.05714\dots \\ \mathrm{Notacao\:intervalo}&\:\left(-\frac{2}{35},\:\infty \:\right)\end{bmatrix}$

$-35x<2\\\\\left(-35x\right)\left(-1\right)>2\left(-1\right)\\\\35x>-2\\\\\frac{35x}{35}>\frac{-2}{35}\\\\x>-\frac{2}{35}$

B={XER|42X2-2}

$42X\cdot \:2-2=84X-2\\42X\cdot \:2-2\\84X-2$

b) A={XER|0

A={xER/0<x<2} e B={xER/-3<x<1}

A = {1}

B = { -2,-1,0}

{-2,-1,0,1}- {1} = {-2,-1,0}

C) A= 1-1,6[ e B=(-1,6]

d) A = ]-7,5] e B=(-3,7[

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