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.