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You are not logged in. #2 20121027 15:32:48
Re: Absolute value equationHi! Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #4 20121027 19:00:01
Re: Absolute value equationhi Sabbir, The critical value for x is So, for your equation you need to consider these cases: (i) x <  1/2 expression becomes Although, strictly that value is outside the range that I'm checking, a numeric check shows it is a solution. (ii) x = 1/2 Just done that. (iii) 1/2 < x < 1/2 expression becomes This is true for all values of x in the range. (iv) x = +1/2 expression becomes So this is a solution. (v) expression becomes Putting (i) to (v) together, the solution set is {x : 1/2 ≤ x ≤ 1/2} or [1/2,1/2] as noelevans has already explained. Hope that helps, Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #5 20121027 22:02:37
Re: Absolute value equationHi Bob The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #6 20121027 22:03:58
Re: Absolute value equationHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20121027 22:05:47
Re: Absolute value equationTrue. Then the solution set should be {x: 1/2<=x<=1/2} The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #8 20121027 22:43:17
Re: Absolute value equationThanks. In my head it said that, but, as you know, I'm getting old and doddery, so what my fingers type doesn't always square with what my brain thinks. I have edited the post. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei 