1. Adding to or subtracting from both sides of an inequality and nonzero number produces an equivalent inequality
 x3 > 5 is equivalent to x3+3 > 5+3 or x > 5+3 or x > 8
 x+1 > 3 is equivalent to x+11 > 31, x > 31 or x > 2
2. Multiplying or dividing both sides of an inequality by the same positive number produces an equivalent inequality.
 5x > 15 is equivalent to 5x/15 > 15/5, or x > 15/5 or x > 3
 x/3 > 2 is equivalent to x/3.3 > 2.3, or x > 2.3 or x > 6
Multiplying both sides of an inequality by the same negative number produces an inequality with its direction reversed.
