Which of the following inequalities is equivalent to −5 < x < 1?	Choose the correct choice from the following choices:
A) |x - 1| < 7  B) |x + 2| < 3  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, -5 &lt; x &lt; 1, let's say by adding y to this inequality we will get into the above format   -5+y &lt; x+y &lt; 1+y   Now, to move this into the mod format, we need to have (-5+y) + (1+y) = 0 =&gt; y = 2   Thus, -3&lt; x+2 &lt; 3 =&gt; |x+2| &lt; 3.   Hence, answer is |x + 2| &lt; 3
<result>B</result>
Which of the following inequalities is equivalent to −5 < x < 1?