[quote="cpcalanoc"] How many possible integer values are there for x if |4x - 3| < 6 ?
A. One
B. Two
C. Three
D. Four
E. Five
Solution: |4x-3| < 6
let 4x=a therefore we have |a-3| < 6 ==> 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<a<9
but a =4x ==> -3<4x<9
...
A. One
B. Two
C. Three
D. Four
E. Five
Solution: |4x-3| < 6
let 4x=a therefore we have |a-3| < 6 ==> 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<a<9
but a =4x ==> -3<4x<9
...