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# how to solve?

| x-1|>=2

(absolute value is greater than or equal to two)

i cannot figure the answer(s) out

Update:

i have to use interval notation and [-1,3] doesnt work

### 6 Answers

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- back2natureLv 41 decade ago
This can also be perceived as distance, considering a straight line, of x from 1 is more than or equal to 2, thus, x is either less than or equal to (1-2) or more than or equal to (1+2), thus, x <= -1 OR x >= 3.

ps: got to be OR, not AND.

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- 1 decade ago
|x-1| >= 2 means

x - 1 >= 2 and

- (x - 1) >= 2

which has the solutions x >= 3 and x<= -1, or

[-oo, -1] and [3, oo] (-oo = -infinity, oo = infinity), or

3 <= x <= -1

- sur2124Lv 41 decade ago
easy just make it two equations

x - 1 >= 2

x - 1 >= 2

then solve

x>= 1

x>= -3

there

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