Problem: The solution set of 6x2+5x<4 is the set of all values of x such that
Answer Choices:
A. −2<x<1
B. −34​<x<21​
C. −21​<x<34​
D. x<21​ or x>−34​
E. x<−34​ or x>21​
Solution:
The given inequality is equivalent to (3x+4)(2x−1)<0 which requires 0<3x+4 and 2x−1<0∴−34​<x<21​.