Which of the following represents 1<x<9?  Choose the correct choice from the following
A) |x|<3  B) |x+5|<4  C) |x-1|<9  D) |-5+x|<4  E) |3+x|<5
|x| is the distance of x from the origin on the number line.   |x - 5| is the distance of x from the point 5 on the number line.   |x + 3| is the distance of x from the point -3 on the number line. (That's because x + 3 = x - (-3))   So, we want to write 1<x<9 #1:="" ---="" 5="" 5.="" a="" about="" as="" at="" distance="" find="" from="" is="" middle="" midpoint="" of="" region.="" so,="" statement.="" step="" that="" the="" this=""> |x - 5|   Step #2: how far can we get from 5? Well, up to almost 9, or down to almost 1 -- that is, almost 4. Thus:   distance from 5 &lt; 4   |x - 5| &lt; 4   ANSWER:|-5+x|&lt;4</x<9>
<result>D</result>
Which of the following represents 1<x<9?