How do you solve (3x - 5) ( x - 2 ) < 0 (3x5)(x2)<0?

1 Answer
Nov 7, 2015

x in (5/3,2)x(53,2)

Explanation:

(3x-5)(x-2)(3x5)(x2) is the equation of a parabola
with x-intercepts at 5/353 and 22

If expanded into standard form the leading term is 3x^23x2

rArr the leading term coefficient is positive

rArr the parabola opens upward

rArr the points between the x-intercepts are below the X-axis

rArr the value of the parabola is < 0<0 when x in (5/3, 2)x(53,2)