How many possible integer values are there for x if |2x - 3| < 6 ?  Choose the correct option:
A) One B) Two C) Three D) Four E) Six
Solution: |2x-3| &lt; 6   let 2x=a therefore we have |a-3| &lt; 6 ==&gt; read this as origin is at +3 and we have to move +6 to the right and -6 to the left   (the less than sign represents that the a must be within boundaries )   (3-6)----------3----------(3+6)   now, we have -3&lt;a&lt;9   but a =2x ==&gt; -3&lt;2x&lt;9   dividing all values by +4 we have -1.5 &lt;x &lt; 4.5   Now question says Integer values (not rational ) therefore we have -1,0,1,2, 3, 4   Hence 6 Six
<result>E</result>
How many possible integer values are there for x if |2x - 3| < 6 ?