Chapter 3 - Section 3.7 - Polynomial and Rational Inequalities - 3.7 Exercises - Page 316: 17

$(1, 10)$

$\frac{x-1}{x-10} < 0$ Find the zeros of the expressions in the numerator AND the denominator $x = 1, 10$ Test numbers in between those zero values to determine if the function is negative or positive (-∞, 1) $\frac{(-)}{(-)} = (+)$ (1, 10) $\frac{(+)}{(-)} = (-)$ (10, ∞) $\frac{(+)}{(+)} = (+)$ Thus the solution is $(1, 10)$