Answer:
-1/2,3
Explanation:
(2x+1)(x−3)<0
For the product to be negative, 2x+1 and x−3 have to be of the opposite signs. Consider the case when 2x+1 is positive and x−3 is negative.
2x+1>0
x−3<0
The solution satisfying both inequalities is x∈-1/2,3
Consider the case when x−3 is positive and 2x+1 is negative.
x−3>0
2x+1<0
This is false for any x.
x∈∅
The final solution is the union of the obtained solutions.