Which of the following inequalities is equivalent to –2 < y< 4 ? Choose one: A) | y– 2 | < 4 B) | y– 1 | < 3 C) | y+ 1 | < 3 D) | y+ 2 | < 4 E) None of the above
First remove the mod   then set the expression to 0   then get a value of y   then add and subtract the value from the given number on the RHS   Lets try with an example (| y– 1 | &lt; 3) --------------&gt; | y– 1 | &lt; 3   First remove the mod -------------------&gt; y-1   then set the expression to 0--------------&gt; y-1=0   then get a value of y---------------------&gt; y=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; |y+ 1 | &lt; 3   First remove the mod --------------------------&gt; y+1   then set the expression to 0----------------------&gt; y+1=0   then get a value of y------------------------------&gt; y=-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 | y– 1 | &lt; 3
<result>B</result>
Which of the following inequalities is equivalent to –2 < y< 4 ?