Question 171314
Add -2 to both sides of the inequality 5 > 3. 
3 > 1
if you add or subtract the same number to both sides of the inequality the inequality remains the same.  
-----
Then divide both sides of the inequality -20 > -30 by -2. 
10 < 15
if you multiply or divide both sides of the inequality by the same negative number, the inequality reverses.
-----
when the direction of the inequality is reversed, the same things happen.
-----
suppose 3 < 5
3-2 < 5-2
1 < 3
inequality remained the same.
-----
suppose 20 < 30
20/-2 > 30/-2
-10 > -15
inequality reversed.
-----
note:
if you multiply or divide both sides of the inequality by the same positive number, the inequality remains the same.
start with:
20 < 30
divide both sides by 2:
10 < 15
-----