What is the solution of the fraction with numerator 2 and denominator x minus 1 is greater than the fraction with numerator 7 and denominator x plus 1 ?

The fractions are undefined at x = -1 and x = 1. Combining them gives (9 - 5x)/(x² - 1) > 0, whose critical values are -1, 1, and 9/5. Checking the signs on the intervals shows the expression is positive when x < -1 or when 1 < x < 9/5. This matches choice B: x is less than negative 1 or greater than 1 and less than 9/5.

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