5.6.28 find domain of x in ABS

[karush]

$\tiny{\textit{5.6.28}}$
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...

 

[topsquark]

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

What does x \quad mean?

-Dan

 

[karush]

What does x \quad mean?

-Dan

oh its a latex H space A \quad B is $A \quad B$

 

[topsquark]

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 \(\displaystyle x \in |2x - 5| < 9\)? 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

 

[karush]

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...

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

using $\in$ in an algebra class might knock some students off the saddle

 

[topsquark]

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...

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 \(\displaystyle \in\) in 7th grade. But it averages itself out... there was also a bunch of stuff they didn't do either.

-Dan

 

[karush]

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