From 9d8d7849c50921d67dbaccb996e9d5fa6e738f7d Mon Sep 17 00:00:00 2001 From: zleyyij Date: Wed, 17 Jan 2024 10:14:33 -0700 Subject: [PATCH] vault backup: 2024-01-17 10:14:33 --- education/math/Rational Inequalities.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/education/math/Rational Inequalities.md b/education/math/Rational Inequalities.md index ec0567d..9aff75f 100644 --- a/education/math/Rational Inequalities.md +++ b/education/math/Rational Inequalities.md @@ -1,2 +1,8 @@ +## Basic Form $$ \frac{x+3}{x-4} < 0 $$ -1. Look at the bottom, solve for zero. When the bottom equals zero, \ No newline at end of file + +1. Draw a number line. +2. Look at the bottom of the fraction $x - 4$, solve for x($x = 4$ ). When the bottom equals zero, put an empty circle on the line to mark a hole, because you cannot divide by 0. +3. Look at the top, solve for zero, and put another point on the line. If it's $\le 0$, this point is filled in, otherwise it's another hole. Now check each "section" along the line by plugging in an arbitrary value to see if the result evaluates to less than zero. + +$$ \frac{(x+1)^2}() \ No newline at end of file