Can anyone please show an equation to these:
1. |3x-2|>10
2. |2x-3|<5
*This is not my Homework... I just need to study for a blooming test tomorrow.
2006-07-01 22:17:17 · 7 answers · asked by Jed Stephen 3 in Science & Mathematics ➔ Mathematics
Hey hey hey....you did not see the symbol on my question. It's less than and greater than. So it means, the answer should also have a sign of less than and greater than.
2006-07-01 22:34:10 · update #1
1. implies 3x-2 > 10 or 3x-2 <-10
3x > 12 or 3x < -12
x> 4 or x < -4
so the set of solutions is (-infinity, - 4) U ( 4, infinity)
2. implies 2x - 3 > -5 or 2x -3 < 5
2x > -2 or 2x < 8
x > -1 or x <4
The set of solutions is
(-1, 4)
2006-07-02 06:34:39 · answer #1 · answered by Theta40 7 · 0⤊ 0⤋
1=6
2=6
2006-07-01 22:21:21 · answer #2 · answered by Qwertyuiop 1 · 0⤊ 0⤋
1.
3x - 2 > 10
3x > 12
x > 4
2.
2x - 3 < 5
2x < 8
x < 4
This is one part of the solution. I will update later.
2006-07-01 23:00:43 · answer #3 · answered by nayanmange 4 · 0⤊ 0⤋
1.)
|3x - 2| > 10
same as saying
±(3x - 2) > 10
divide both sides by ±1
3x - 2 > 10 or 3x - 2 < -10
add 2 to both sides
3x > 12 or 3x < -8
divide both sides by 3
ANS : x > 4 or x < (-8/3)
-----------------------------------------
2.)
|2x - 3| < 5
2x - 3 < 5 or 2x - 3 > -5
2x < 8 or 2x > -2
x < 4 and x > -1
ANS : -1 < x < 4
2006-07-02 08:17:34 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋
you make both equations into two equations each
3x-2 = 10 and -3x+2 = 10
then solve for x
3x=12
x= 4
-3x = 8
x=-8/3
for #2,
2x-3=5
2x=8
x=4
and
-2x+3 = 5
-2x=2
x=-1
there you go
2006-07-01 22:24:25 · answer #5 · answered by mrhpotter7 2 · 0⤊ 0⤋
see below link
2006-07-01 22:24:25 · answer #6 · answered by energeticthinker 5 · 0⤊ 0⤋
The variable (X) can not be a negative value.
2006-07-01 22:39:19 · answer #7 · answered by Paul 1 · 0⤊ 0⤋