### Home > PC3 > Chapter 5 > Lesson 5.2.5 > Problem5-125

5-125.

Solve each of the following inequalities.

1. $\frac { 4 x - 4 } { x ^ { 2 } - 1 } > 1$

$\frac{4x-4}{x^2-1}-1>0$

$\frac{4x-4}{x^2-1}-\frac{x^2-1}{x^2-1}>0$

$\frac{-x^2+4x-3}{x^2-1}>0$

$\frac{-(x-3)(x-1)}{(x+1)(x-1)}>0$

Determine the boundary points and then the intervals that make the inequality true.

1. $x^3−x^2−17x\le15$

$x^3-x^2-17x-15\le0$

$(x+3)(x+1)(x-5)\le0$

Determine the boundary points and then the intervals that make the inequality true.