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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  • 1 decade ago
    Favorite Answer

    it can be 3 or -1

  • 1 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.

  • 1 decade ago

    x-1>=2 AND -(x-1)>=2

    X>=3 -X+1>=2

    - X>=1

    X>= -1

    -1=<X>=3

  • 1 decade ago

    Treat the absolute bars as parenthesis. x=3.

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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

  • 1 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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