About Lesson
14.6 Rational Inequalities 分式不等式
Solve the inequalities
解下列不等式
(1)
(a)
(a)
![Rendered by QuickLaTeX.com \frac{(x-3)(x+1)}{(x-1)(x+3)} < 0](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-0dc174ac7bbb7f02fd87a22deca9d97e_l3.png)
(b)
Answer:
(a) –3 < x < –1, 1 < x < 3
(b) –3 < x –1, 1 < x
3
(2)
Answer:
![Rendered by QuickLaTeX.com \frac{1}{2}(3 - \sqrt{17}) \leq x < 1](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-1042d924ffb6a66f3f39dff8fec012e1_l3.png)
(3)
Answer:
![Rendered by QuickLaTeX.com -2 < x < 1](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-23191a16b58f448c96aed6936ece0971_l3.png)
(4)
Answer:
![Rendered by QuickLaTeX.com x < 0](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-864cc0e348b76db1596013805bca0e50_l3.png)
![Rendered by QuickLaTeX.com \frac{2}{3} \leq x \leq 2\frac{1}{2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-c695128b9eaeb8e54d8db0a117e51c13_l3.png)
(5)
Answer:
![Rendered by QuickLaTeX.com -1 < x < 1](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-d831273a3822c05f092b1801fcf80ac3_l3.png)
(6)
Answer:
![Rendered by QuickLaTeX.com -1 < x < 2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e2a9f952117cdb0bd9d465a4c1f3f9ae_l3.png)
![Rendered by QuickLaTeX.com \geq](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-0bea0a8ab6cbdbdabafec0fa25e57e60_l3.png)
(7)
Answer:
![Rendered by QuickLaTeX.com -3 \leq x \leq \frac{1}{2}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-9a86a059d7a475663434eca655d9611b_l3.png)
![Rendered by QuickLaTeX.com x = 2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-43c039d8dcfab24dedb2ac2be01ecaeb_l3.png)
(8)
Answer:
![Rendered by QuickLaTeX.com x < -1](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-6a803d117c1ccbeb228de280475f5727_l3.png)
![Rendered by QuickLaTeX.com \frac{1}{2}\leq x < 1](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-76650b57469da8cc161b4ff9f730a277_l3.png)