directions: solve the following inequality algebraically.
absolute value 2x-1>3.6
so 2x-1 is an absolute value
3.6 is not an absolute value
plz show work
2007-07-02 07:12:54 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Figure out the lowest positive number and highest negative numbers that would make this statement true. If you're only dealing with integers, it's 3 and -2. The answer is x = 3 to infinity and -2 to negative infinity. I can't remember the right way to write that mathematically, but I'm sure you do since you were sitting in the class a couple days ago. I haven't been in the classroom for about 3 years now...
If you're dealing with decimals, do the same, just figure out the exact numbers you would need to make the equation true.
Update: Maximilian is on the right track. x>2.3, x<-1.3
I think he just forgot the (-). Almost everyone else is forgetting about the negative side of the equation.
2007-07-02 07:20:35 · answer #1 · answered by Glock 32 2 · 0⤊ 0⤋
Your suppositions are incorrect.
You solve just as if the sign was '='
2x - 1 > 3.6
Transpose:
2x > 3.6 + 1
Simplify:
2x > 4.6
Reduce:
x > 4.6/2 or |2.3|
2007-07-02 07:21:12 · answer #2 · answered by Robert S 7 · 0⤊ 1⤋
first you take the positive value and then solve for x x>2.3
then you make 2x-1 negative and solve for the ineqaulity
x<1.3
i hope this helped
2007-07-02 07:18:24 · answer #3 · answered by Archmage 2 · 0⤊ 1⤋
well it is abs 2x-1>3.6
2x-1>3.6
2x>4.6
x>2.3
so the answer has to be grater than 2.3
2x-1= 3.6 2x-1= -2.6
2x= 4.6 2x=-1.6
x=2.3 x= -.8
so the only answer is x>2.3
2007-07-02 07:17:59 · answer #4 · answered by Anonymous · 0⤊ 1⤋
Quit sleeping in class
2007-07-02 07:15:56 · answer #5 · answered by cactus 2 · 0⤊ 0⤋
arent you supposed to be doing your own homework?
guess you do the same thing in english...since you asked us to PLZ show work.
2007-07-02 07:16:56 · answer #6 · answered by Jammin EMmm 3 · 0⤊ 0⤋
| 2x-1 | = 3.6
2x-1= 3.6 and 2x-1 = -3.6
2x = 4.6 and 2x = -2.6
x= 2.3 and -1.3
2007-07-02 07:17:07 · answer #7 · answered by Princess Stephie is here to help 3 · 0⤊ 1⤋
U should do your homework your self .
(PS you can get the answers on a homework help site )
2007-07-02 07:19:01 · answer #8 · answered by EmmzyJ 1 · 0⤊ 1⤋
|2x-1| > 3.6
|2x| > 4.6
|x| > 2.3
x is either greater than 2.3 or less than -2.3
2007-07-02 07:20:01 · answer #9 · answered by UnknownD 6 · 1⤊ 1⤋