Which of the following inequalities is equivalent to −8 < x < 4?	Choose the correct choice from the following options: A) |x - 1| < 7 B) |x + 2| < 6 C) |x + 3| < 5 D) |x - 2| < 6 E) None of the above
We know that |x| &lt; a means -a &lt; x &lt; a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0   Given is, -8 &lt; x &lt; 4, let's say by adding y to this inequality we will get into the above format   -8+y &lt; x+y &lt; 4+y   Now, to move this into the mod format, we need to have (-8+y) + (4+y) = 0 =&gt; y = -2   Thus, -6&lt; x+2 &lt; 6 =&gt; |x+2| &lt; 6.   Hence, answer is |x + 2| &lt; 6
<result>B</result>
Which of the following inequalities is equivalent to −8 < x < 4?