added some inline math, yeet

Grade 9/Math/MPM1DZ/Final_Exam_Study_Sheet.md

@@ -68,10 +68,10 @@
 - The numbers in the interval represent the endpoint. E.g. **[x > 3, x ∈ R]**   
 - ```|``` means ```such that```   
 - ```E``` or ∈ means ```element of```      
-- ```N``` represents **Natural Numbers** (N = {x | x > 0, x ∈ Z})     
-- ```W``` represents **Whole Numbers**  (W = {x | x ≥ 0, x ∈ Z}) 
-- ```Z``` represents **Integers** (Z = {x | -∞ ≤ x ≤ ∞, x ∈ Z})      
-- ```Q``` represents **Rational Numbers** (Q = {<sup>a</sup>&frasl;<sub>b</sub> |a, b &isin; Z, b &ne; 0})   
+- ```N``` represents **Natural Numbers** $`N = \{x | x \gt 0, x \isin \mathbb{Z} \}`$    
+- ```W``` represents **Whole Numbers**  $`W = \{x | x \ge 0, x \isin \mathbb{Z}\}`$
+- ```Z``` represents **Integers** $`Z = \{x| -\infin \le x \le \infin, x \isin \mathbb{Z}\}`$
+- ```Q``` represents **Rational Numbers**  $`Q = \{ \frac{a}{b} |a, b \isin \mathbb{Z}, b \neq 0 \}`$  
 
   | Symbol | Meaning |
   |:------:|:-------:|
@@ -82,12 +82,12 @@
 
 ## Pythgorean Theorem
 - a and b are the two legs of the triangle or two sides that form a 90 degree angle of the triangle, c is the hypotenuse        
-- a<sup>2</sup> + b<sup>2</sup> = c<sup>2</sup>      
+- $`a^2+b^2=c^2`$     
 
 - <img src="https://docs.google.com/drawings/u/1/d/sGjyHDIs-wHWzppHAGdIpEA/image?w=162&h=70&rev=1&ac=1&parent=1ZIXKcDk3LBlgPK2EoUV04c0G1LZotrtfgVhJTooO1zA" width="200">
  
 ## Operations with Rationals
-- Q = { <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\dpi{100}&space;\fn_cm&space;\frac{a}{b}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\dpi{100}&space;\fn_cm&space;\frac{a}{b}" title="\frac{a}{b}" /></a> | a, b &isin; Z, b &ne; 0 }     
+- $`Q = \{ \frac{a}{b} |a, b \isin \mathbb{Z}, b \neq 0 \}`$     
  
 - Any operations with rationals, there are 2 sets of rules     
    1. ```Rules for operations with integers```
@@ -98,20 +98,25 @@
 - To Divide rationals, multiply them by the reciprocal   
 
 ### Example Simplify Fully:
--  <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\div&space;\frac{2}{14}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\div&space;\frac{2}{14}" title="= \frac{3}{4} \div \frac{2}{14}" /></a> [Reduce to lowest terms]   
 
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\div&space;\frac{1}{7}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\div&space;\frac{1}{7}" title="= \frac{3}{4} \div \frac{1}{7}" /></a> [Multiply by reciprocal]   
+- $` \frac{3}{4} \div \frac{2}{14} `$ Reduce to lowest terms
 
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\times&space;7" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\times&space;7" title="= \frac{3}{4} \times 7" /></a> 
+- $` \frac{3}{4} \div \frac{1}{7} `$ Multiple by reciprocal
+
+- $` \frac{3}{4} \times 7 `$
+
+- $` = \frac{21}{4}`$ Leave as improper fraction
 
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{21}{4}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{21}{4}" title="= \frac{21}{4}" /></a> [Leave as an improper fraction]
 
 ### Shortcut for multiplying fractions
 - cross divide to keep your numbers small    
 - Example:    
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\times&space;\frac{2}{12}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{3}{4}&space;\times&space;\frac{2}{12}" title="= \frac{3}{4} \times \frac{2}{12}" /></a>    
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{1}{2}&space;\times&space;\frac{1}{4}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{1}{2}&space;\times&space;\frac{1}{4}" title="= \frac{1}{2} \times \frac{1}{4}" /></a>      
-- <a href="https://www.codecogs.com/eqnedit.php?latex=\inline&space;\fn_phv&space;=&space;\frac{1}{8}" target="_blank"><img src="https://latex.codecogs.com/gif.latex?\inline&space;\fn_phv&space;=&space;\frac{1}{8}" title="= \frac{1}{8}" /></a>      
+- $` \frac{3}{4} \times \frac{2}{12} `$
+ 
+- $` \frac{1}{2} \times \frac{1}{4} `$
+ 
+- $` = \frac{1}{8} `$
+
 
 ## Exponent Laws