Valor Absoluto
Enviado por RomanAlejandro07 • 19 de Marzo de 2014 • 2.149 Palabras (9 Páginas) • 233 Visitas
Actividades de valor Absoluto
1.- |x| <1
X < 1 verif /x=0
(-∞, 1 ) 0 < 1
2.- |x-3/2| > 5 verif / x= -8
5 < x-3/2 < -5 [ -7 , 13 ] |-8 -3 /2| > 5
5(2) < 2(x-3/2) < -5(2) (-∞ , -7] u [13 , ∞) |-11/2 | > 5 ---]---o-----[----
10 < x-3 < -10 11/2 > 5
10+3 < x-3+3<-10+3 5.5 > 5
13 < x < -7
3.- |1-2x/3 | < 1 _________________________________________________________________________
-1 < 1- 2x/3 < 1
(3)-1 < 3(1-2x/3) < 1(3) Verif/ X= 0
-3 < 1-2x < 3 |1- 2(0)/3|<1
-3-1 < 1-1-2x < 3-1 |1-0/3|
-4 < -2x < 2 1/3 < 1
-4/-2 < - 2x/-2 < 2/-2 ----(-o---)---
2 > x > - 1 (-1 , 2)
4.-|x/2| > 3______________________________________________________________________
3 < x/2 < -3 verif / X= 7
(2)3 < 2(x/2)<-3(2) |-7/2| > 3
6 < x < -6 3.5 > 3 ----)---o---(----
(-∞,- 6)u(6, ∞)
5.-|x+2| < 5_____________________________________________________________________
-5 < x + 2 < 5 Verif / x= 0
-5 -2< x+2-2 <5-2 |0 + 2| < 5
-7 < x < 3 2 < 5
( -7, 3 ) ------(--o--)-----
6.- |3x + 1| > 4___________________________________________________________________
4 < 3x+1 < -4
4-1 < 3x+1-1 < -4-1 Verif / x=0 x=-2
3 < 3x < -5 |3(0)+1| > 4 |3(-2)+1| >4
3/3 < 3x/3 < -5/3 |1| > 4 |-6+1| >4
1 < x < -5/3 1 > 4 |-5|>4
(-∞ , -5/3)u(1, ∞)
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