Which of the following inequalities is equivalent to –2 < x < 4 ?  Select
A) | x – 2 | < 4	B) | x – 1 | < 3	C) | x + 1 | < 3	D) | x + 2 | < 4	E) None of the above
First remove the mod   then set the expression to 0   then get a value of X   then add and subtract the value from the given number on the RHS   Lets try with an example (| x – 1 | &lt; 3) --------------&gt; | x – 1 | &lt; 3   First remove the mod -------------------&gt; x-1   then set the expression to 0--------------&gt; x-1=0   then get a value of x---------------------&gt; x=1   then add and subtract the value from the given number on the RHS   1+3= 
<gadget id="calculator">  1+3</gadget>
<output>4</output>
4 and 1-3= -2   the range become -2 to 4 correct answer   Now try its with an incorrect option (C) | ----------&gt; |x + 1 | &lt; 3   First remove the mod --------------------------&gt; x+1   then set the expression to 0----------------------&gt; x+1=0   then get a value of x------------------------------&gt; x=-1   then add and subtract the value from the given number on the RHS   -1+3= 
<gadget id="calculator">  -1+3</gadget>
<output>2</output>
2 and -1-3= -4   the range become -4 to 2 Incorrect   THE CORRECT ANSWER IS | x – 1 | &lt; 3
<result>B</result>
Which of the following inequalities is equivalent to –2 < x < 4 ?