| x-1|>=2
(absolute value is greater than or equal to two)
i cannot figure the answer(s) out
2006-09-28 13:17:01 · 6 answers · asked by j.ollyroger 1 in Science & Mathematics ➔ Mathematics
i have to use interval notation and [-1,3] doesnt work
2006-09-28 13:24:09 · update #1
it can be 3 or -1
2006-09-28 13:24:23 · answer #1 · answered by zz56zz56 3 · 0⤊ 1⤋
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.
2006-09-28 17:35:24 · answer #2 · answered by back2nature 4 · 0⤊ 0⤋
x-1>=2 AND -(x-1)>=2
X>=3 -X+1>=2
- X>=1
X>= -1
-1=
2006-09-28 13:23:01 · answer #3 · answered by CHAZ2006 3 · 0⤊ 1⤋
Treat the absolute bars as parenthesis. x=3.
2006-09-28 13:28:34 · answer #4 · answered by Crossroads Keeper 5 · 0⤊ 0⤋
|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
2006-09-28 13:24:39 · answer #5 · answered by Joe C 3 · 0⤊ 0⤋
easy just make it two equations
x - 1 >= 2
x - 1 >= 2
then solve
x>= 1
x>= -3
there
2006-09-28 13:19:56 · answer #6 · answered by sur2124 4 · 0⤊ 1⤋