Solve the following inequalities. Express the answers in interval notation.

Suggestion: First answer part (a) using techniques from class and/or the text. Then, notice that parts (b)-(e) are modifications of part (a). Think about how these modifications affect the problem. Then solve parts (b)-(e) based on your answer to part (a). If you are not able to see the connections, you can always work the entire method.

(a) $\displaystyle\frac{x+10}{x^{2}-25}>0$

Answer:

(b) $\displaystyle\frac{x+10}{x^{2}-25}\ge 0$

Answer:

(c) $\displaystyle\frac{x+10}{x^{2}-25}\le 0$

Answer:

(d) $\displaystyle\frac{(x+10)^{2}}{x^{2}-25}\ge 0$

Answer:

(e) $\displaystyle\frac{(x+10)^{10,001}}{(x^{2}-25)^{10,003}}\ge 0$

Answer: