Решите уравнение: 1) |0,6+x|=7 2) |0,4x-1|=2 3) |0,5x+3|=5 4) |2,5x-3|=7 5) |0,2x+7|=8

Нам нужно решить уравнения с модулем:

1) |0,6 + x| = 7;

a) 0.6 + x = 7;

x = 7 - 0.6;

x = 6.4;

б) 0.6 + x = - 7;

x = - 7 - 0.6;

x = - 7.6.

2) |0,4x - 1| = 2;

a) 0.4x - 1 = 2;

0.4x = 2 + 1;

0.4x = 3;

x = 3 : 0.4;

x = 7.5.

б) 0.4x - 1 = - 2;

0.4x = - 2 + 1;

0.4x = - 1;

x = - 1 : 0.4;

x = - 2.5.

3) |0,5x + 3| = 5;

a) 0.5x + 3 = 5;

0.5x = 5 - 3;

0.5x = 2;

x = 2 : 0.5;

x = 4.

б) 0.5x + 3 = - 5;

0.5x = - 5 - 3;

0.5x = - 8;

x = - 8 : 0.5;

x = - 16.

4) |2,5x - 3| = 7;

a) 2.5x - 3 = 7;

2.5x = 7 + 3;

2.5x = 10;

x = 10 : 2.5;

x = 4.

б) 2.5x - 3 = - 7;

2.5x = - 7 + 3;

2.5x = - 4;

x = - 4 : 2.5;

x = - 1.6.