Linear inequalities
If a < b , then a + c < b + c. Adding the same number to each side of an inequality does not change the direction of the inequality symbol. If a < b , then a – c < b – c . Subtracting the same number from each side of an inequality does not change the direction of the inequality symbol. If a < b and if c is a positive number, then a · c < b · c. Multiplying each side of an inequality by a positive number does not change the direction of the inequality symbol. If a < b and if c is a positive number, then Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol. If a < b and if c is a negative number, then a · ...