MHB 5.6.28 find domain of x in ABS

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The discussion revolves around solving the inequality |2x - 5| < 9, leading to the solution set -2 < x < 7. Participants clarify the notation "x \quad" as a LaTeX spacing command, which some find unnecessary. Suggestions are made to simplify the expression to avoid confusion, advocating for clearer notation like "Find all x such that |2x - 5| < 9." There is a debate about the use of symbols like \in in algebra classes, with some expressing concern over potential misunderstandings. Overall, the focus is on ensuring clarity in mathematical notation and problem-solving.
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$\tiny{\textit{5.6.28}}$
Find $x \quad |2x-5|<9$
divide into 2 solution sets
$\begin{array}{rl|rl}
(2x-5)&=9&-(2x-5)&=9 \\
2x&=14&-2x&=4 \\
x&=7&x&=-2
\end{array}$
x is $-2<x<7$
kinda maybe...
 
Last edited:
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karush said:
Find x \quad $|2x-5|<9$
What does x \quad mean?

-Dan
 
topsquark said:
What does x \quad mean?

-Dan
oh its a latex H space A \quad B is $A \quad B$
 
karush said:
oh its a latex H space A \quad B is $A \quad B$
I'm not seeing anything between A and B. Just go ahead and write it as: Find all x such that |2x - 5| < 9. Or Find all x s.t. |2x - 5| < 9.

You answer looks good to me. Why are you not sure it's right?

-Dan

Wait. Are you trying to write [math] x \in |2x - 5| < 9[/math]? You are looking for a lower case epsilon. But you can simply write it as \in.

If this is the case your notation doesn't really work all that well. Just go ahead and write it like I suggested above.

-Dan
 
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well actually when you start the question with "Find x" sometime the x looks it is part of the equation therefore it needs to separated from it,,,, \quad is often used to do this... just markup stuff...:cool:

Find x $\quad |2x-5|<9$

using $\in$ in an algebra class might knock some students off the saddle
 
karush said:
well actually when you start the question with "Find x" sometime the x looks it is part of the equation therefore it needs to separated from it,,,, \quad is often used to do this... just markup stuff...:cool:

Find x $\quad |2x-5|<9$

using $\in$ in an algebra class might knock some students off the saddle
Oh! I see. I just use ~ for my spacer.

I was introduced to [math]\in[/math] in 7th grade. But it averages itself out... there was also a bunch of stuff they didn't do either.

-Dan
 
i was in the 7th grade in 1957 it was a dense class
 

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