How many possible integer values are there for x if |4x - 3| < 6 ?  Select:
A) One
B) Two
C) Three
D) Four
E) Five
Solution: |4x-3| &lt; 6   let 4x=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 =4x ==&gt; -3&lt;4x&lt;9   dividing all values by +4 we have -0.75 &lt;x &lt; 2.24   Now question says Integer values (not rational ) therefore we have 0,1,2   ANSWER:Three
<result>C</result>
How many possible integer values are there for x if |4x - 3| < 6 ?