Question

Rozwiaż :
a) |x-2|=6
b) 2|x-1|-4=0
c) |x+5|>_4

Answer 1

a)
|x-2|=6
x - 2 = 6  lub  x - 2 = -4
x = 6 + 2         x = -6 + 2
x = 8               x = -4

b)
 2|x-1|-4=0
2|x - 1| = 4    /:2
|x - 1| = 2
x - 1 = 2    lub    x - 1 = -2
x = 3                   x = -1

c)
 |x+5|>_4
x + 5 >= 4    lub    x + 5 <= -4
x >= -1                    x <= -9
x nalezy (-oo, -9> u <-1, +oo)