What is the solution of the fraction with numerator x plus 4 and denominator 2 x minus 1 is less than 0 ?

The fraction can be negative only between its critical values, where the numerator or denominator is zero: x = −4 and x = 1/2. Testing x = 0 gives 4/(−1) < 0, so the fraction is negative between those values. Both endpoints are excluded: at −4 the fraction equals zero, and at 1/2 it is undefined. Thus the solution is −4 < x < 1/2, choice B.

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