resolva as inequaçoes a seguir :
2x -2 > x+1
(x-4)/2 + (x-3)/3 < x-4
(x-4)/2 > x- 1/2
Soluções para a tarefa
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2x -2 > x+1
2x -x > 1 +2
x > 3
S= {3}
(x-4)/2 + (x-3)/3 < x-4 mmc de 2 e 3= 6
[3.(x-4) + 2.(x-3) < 6.(x-4)]/6
[3x -12 + 2x -6 < 6x -24]/6 elimina o denominador 6
3x -12 + 2x -6 < 6x -24
3x +2x -6x < -24 +12 +6
5x -6x < -24 +18
-x < - 6.(-1)
x > +6
S= {6}
(x-4)/2 > x- 1/2 mmc=2
(x-4 > 2x -1)/2 elimina o denominador 2
x-4 > 2x -1
x -2x > -1 +4
-x > +4.(-1)
+x < -4
S{-4}
2x -x > 1 +2
x > 3
S= {3}
(x-4)/2 + (x-3)/3 < x-4 mmc de 2 e 3= 6
[3.(x-4) + 2.(x-3) < 6.(x-4)]/6
[3x -12 + 2x -6 < 6x -24]/6 elimina o denominador 6
3x -12 + 2x -6 < 6x -24
3x +2x -6x < -24 +12 +6
5x -6x < -24 +18
-x < - 6.(-1)
x > +6
S= {6}
(x-4)/2 > x- 1/2 mmc=2
(x-4 > 2x -1)/2 elimina o denominador 2
x-4 > 2x -1
x -2x > -1 +4
-x > +4.(-1)
+x < -4
S{-4}
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