Answer:
-3/2 < a < 2/3
Step-by-step explanation:
In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...
2a +3 > 0
3a -2 < 0
__
The first inequality has the solution ...
2a > -3 . . . . subtract 3
a > -3/2 . . . . divide by 2
The second inequality has the solution ...
3a -2 < 0
3a < 2 . . . . add 2
a < 2/3 . . . divide by 3
The set of values of 'a' that put P in the fourth quarter is ...
-3/2 < a < 2/3
