absolute value... can you please help me with this one? thaks
2007-09-14 07:08:06 · 7 answers · asked by mibg 1 in Science & Mathematics ➔ Mathematics
To be equal to 1, |4x+2| must equal 12 or 10. Since it's absolute value, it can be positive or negative:
4x + 2 = 12 or 4x + 2 = -12
4x = 10 or 4x = -14
x = 5/2 or x = -7/2
4x + 2 = 10 or 4x + 2 = -10
4x = 8 or 4x = -12
x = 2 or x = -3
So all together: x = 5/2, -7/2, 2, -3
2007-09-14 07:17:02 · answer #1 · answered by Becky M 4 · 1⤊ 1⤋
Well, this means that |4x + 2| - 11 must be either -1 or +1.
It means that |4x + 2| must be either 10 or 12
This means that 4x + 2 must be -10, +10, -12 or +12
So, x could be -3, +2, -14/4, or 10/4
2007-09-14 14:20:37 · answer #2 · answered by PMP 5 · 1⤊ 0⤋
if x= 2
|| 4 (2)+2 |-11|=1
|| 8 + 2 |-11| = 1
|| 10 - 11 | = 1
|| -1 | = 1
1 = 1
this is just one the others are above
2007-09-14 14:27:32 · answer #3 · answered by A A 3 · 1⤊ 0⤋
||4x+2|-11|=1
|4x+2| -11 = +/- 1
|4x+2| = 10 or -12
4x+2 = +/- 10 --> x = 2 or -3
4x+2 = +/1- -12 --> x = -3.5 or 2.5
2007-09-14 14:19:48 · answer #4 · answered by ironduke8159 7 · 1⤊ 1⤋
The equation can either equal +1 or -1. Thus I4x+2I can either be +/-12 or +/-10. So you have four possible answers. ALL four are correct and all four should be given as your answer. Hope this helps.
2007-09-14 14:18:08 · answer #5 · answered by BigV340 2 · 2⤊ 0⤋
4x+2-11=1
4x-9=1
4x=10
x=5/2
2007-09-14 14:15:05 · answer #6 · answered by dhruvthakkar2004 2 · 1⤊ 1⤋
4x+2=12 or x=10/4=2.5
or
4x+2=10 or x=2
Verification:
I11-10I=1 &
I10-11I=I-1I=1
2007-09-14 14:21:33 · answer #7 · answered by KESHAV G 1 · 1⤊ 1⤋