Question 946019

Solve the polynomial inequality. Express the solution set in interval notation.

{7}/{x + 3} > {8}/{x - 3}
<pre>
{{{7/(x + 3) > 8/(x - 3)}}}
7(x - 3) > 8(x + 3) ------- Multiplying by LCD, (x + 3)(x - 3)
7x - 21 > 8x + 24
7x - 8x > 24 + 21
- x = 45
{{{(- x)/(- 1) < 45/(- 1)}}} ------ Inequality sign changes when DIVIDING by negative number
{{{highlight_green(x < - 45)}}}