Question

6 ) Reduza as equações modulares a seguir :

a) | 2 x - 4 | = 10
b) | 3 x - 2 | = | x + 1 |
c) | 5 x - 3 | = 2 x + 9

Answer 1

a) | 2 x - 4 | = 10

2x - 4=10
2x - 4= - 10

x= 7
x= - 3




b) | 3 x - 2 | = | x + 1 |

3x - 2 = x + 1
3x-2= - ( x + 1 )

x=3/2
x=1/4



c) | 5 x - 3 | = 2 x + 9

| 5x - 3 | - 2x = 9

5x - 3 - 2x = 9 <==>5x - 3 >0

- (5x - 3 ) - 2x = 9 <==>5x - 3 < 0

x= 4 , x > 3/5

x = - 6/7 , x < 3/5

x=4

x = - 6/7