Tutors Answer Your Questions about absolute-value (FREE)
Question 1044755: Question 1044751: hello,
why does |2x-3| + 4 =2 have no solution.
please show steps in coming to that.
thanks
Answer by MaxWong(13) About Me (Show Source):
You can put this solution on YOUR website!
|2x-3|+4=2
|2x-3|=-2
An absolute value of a number, no matter positivity or negativity, could not be a negative number. Therefore no solution.
o.k. thanks, but now why does |x-7|= 12 have the set {19,-5} as a solution. clearly -5 is a negative number.
what am I missing here??
thanks
Click here to see answer by Boreal(15235)   |
Question 1044831: Question 1044755: Question 1044751: hello,
why does |2x-3| + 4 =2 have no solution.
please show steps in coming to that.
thanks
Answer by MaxWong(13) About Me (Show Source):
You can put this solution on YOUR website!
|2x-3|+4=2
|2x-3|=-2
An absolute value of a number, no matter positivity or negativity, could not be a negative number. Therefore no solution.
o.k. thanks, but now why does |x-7|= 12 have the set {19,-5} as a solution. clearly -5 is a negative number.
what am I missing here??
thanks
Answer by Boreal(3362) About Me (Show Source):
You can put this solution on YOUR website!
|x-7|=12
x-7=12; x=19
(x-7)=-12; x=-5
The reason it works is x is negative but |(x-7)| is |(-12)| which is 12.
The absolute value of something can't be negative BUT the absolute value of a negative number is positive and exists.
Thanks for the reply.
So just to be sure, you're saying x and another number inside the hash marks can both be negative, but x by itself, even if in hash marks, cant (be followed by) equal a negative number?
thank you.
Click here to see answer by Boreal(15235) |
Question 1044834: O.k. tell my where I'm going wrong here: |2x-3|+4=2-----> 2x-3+4=2-4----->2x-3=-2---->2x-3+3=-2+3---->2x=1---->2x/2=1/2----->x=.50
and if you ad a negative to =2--->=-2---->answer is x=-1.50
but both these answers are with in the hash marks, with another number and
which you just ignore the polarity and consider it positive?
as you can see I'm in a world of confusion here! ha
how do I make sense of all this
thanks
Click here to see answer by josgarithmetic(39621) |
Question 1044837: --------------------------------------------------------------------------------
Question 1044834: O.k. tell my where I'm going wrong here: |2x-3|+4=2-----> 2x-3+4=2-4----->2x-3=-2---->2x-3+3=-2+3---->2x=1---->2x/2=1/2----->x=.50
and if you ad a negative to =2--->=-2---->answer is x=-1.50
but both these answers are with in the hash marks, with another number and
which you just ignore the polarity and consider it positive?
as you can see I'm in a world of confusion here! ha
how do I make sense of all this
thanks
Answer by josgarithmetic(17865) About Me (Show Source):
You can put this solution on YOUR website!
abs%282x-3%29%2B4=2
Solve first just for the absolute value, if it can be isolated.
abs%282x-3%29%2B4-4=2-4
abs%282x-3%29=-2
THIS is impossible.
NO SOLUTION.
An absolute value is not a signed number, and can never be considered negative. An absolute value itself is never less than zero.
The expression inside the absolute value machine may be positive, or zero, or negative. The absolute value machine, once it contains a number, will only produce either a non-signed, ASSUMED POSITIVE value, OR zero.
O.K. Just to be sure. You're saying the VERY INSTANT a Negative occurs on the other side of the equal sign, stop right there and move on (adding a 0 with a / over it)?
thanks
Click here to see answer by josgarithmetic(39621) |
Question 1045418: The list price of an iPod speaker is $67.50. It is on sale for 20% off. and there is a 6% sale tax. The store calculates the sale tax on the $67.50. and then takes 20% off the total. Jonathan wants them to take the discount first and then calculate the tax. Reasoning that the tax will be calculate based on the lower price and he will pay less.Is Jonathan correct? How much will he pay each way?
Click here to see answer by stanbon(75887) |
Question 1046068: There are two alloys P and Q made up of silver, copper and aluminium. Alloy P contains 45% silver and rest aluminum. Alloy Q contains 30% silver, 35% copper and rest aluminium. Alloys P and Q are mixed in the ratio of 1 : 4.5. The approximate percentages of silver and copper in the newly formed alloy is
Click here to see answer by josmiceli(19441)  |
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