Ejercicios De Valor Absoluto

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EJERCICIOS DE VALOR ABSOLUTO Determina el conjunto solución de las siguientes ecuaciones: 1) 2) 3) 4) 5) 6) 7)

|x| = 2 |x − 2| = 3 | 5 x | = 15 |x/2| = 4 |x| = −1 |3x − 2| = 7 | 12 − 5 x | = 8

R: R: R: R: R: R: R:

{−2 , 2} {−1 , 5} {−3 , 3} {−8 , 8} ∅ {−5/3 , 3} {4/5 , 4}

8) |(4x − 7)/3| = 3

R: {−1/2 , 4}

9) |(9 − 2x)/5| = 1

R: {2 , 7}

10 ) | ( x + 2 ) / ( x − 1 ) | = 2

R: {0 , 4}

11 ) 12 ) 13 ) 14 ) 15 ) 16 ) 17 ) 18 ) 19 ) 20 ) 21 ) 22 )

|(x + 3)/(x + 1)| = 1/2 |3x − 4| = x −|x + 1| = 5 −2x |2x + 3| = |x − 1| |x + 2| = |1 − 2x| |x + 4| = |2 − x| |x + 3| = |5 − x| |x + 2| > 1 |x − 3| < 2 |2x + 5| ≤ 1 |2 − x| ≥ 1 |x − 1| + |y −5| = 2 y = 5 + |x− 1|

R: {−5 , −7/3} R: {1 , 2} R: {6} R: {−4 , −2/3} R: {−1/3 , 3} R: {−1} R: {1} R: ] − ∞ ; − 3 [ ∪ ] − 1 ; + ∞ [ R: ]1 ; 5[ R: [−3 ; −2] R: ]−∞ ; 1] ∪ [3 ; +∞[ R: {(0 , 6) , (2 , 6)}

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