dados os conjuntos A = {-1,0,1,2,3} B= {-2,-1,0,1,2,3,4} determine as relaçoes
a)R1= {(x.y)E AxB/ Y= -2x+1}
b)R2 = {(x.y)E AxB/Y= x-2}
c)R3 {(x.y)E AxB/Y= -x elevado a 2
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A = {-1,0,1,2,3} B= {-2,-1,0,1,2,3,4}
a)R1= {(x.y)E AxB/ Y= -2x+1}
A = {-1,0,1,2,3} B= {-2,-1,0,1,2,3,4}
Y = - 2(-1)+1 = 2 +1 ==> 3
Y = - 2(0)+1 = 0 +1 ==> 1
Y = - 2(1)+1 = -2 +1 ==>- 1
Y = - 2(2)+1 = -4 +1 ==> - 3
Y = - 2(3)+1 = -6 +1 ==> - 5
R1={(-1,3),(0,1),(1,-1)}
b)R2 = {(x.y)E AxB/Y= x-2}
A = {-1,0,1,2,3} B= {-2,-1,0,1,2,3,4}
Y = - 1 - 2 = - 3
Y = 0 - 2 = - 2
Y = 1 - 2 = - 1
Y = 2 - 2 = 0
Y = 3 - 2 = 1
R2 ={(0,-2),(1,-1), (2,0),(3,1) }
c)R3 {(x.y)E AxB/Y= -x elevado a 2
A = {-1,0,1,2,3} B= {-2,-1,0,1,2,3,4}
Y = - (-1)^2 = - 1
Y = 0^2 =0
Y = -(1)^ 2 = - 1
Y = - (2)^2 = - 4
Y = -(3)^2 = - 9
R3={(-1,-1),(0,0),(1,-1) }
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