Division property of equality If a = b and c 0, then a ÷ c = b ÷ c. ≠ Substitution property of equality If a = b, then b may be substituted for a in any expression containing a. *The x represents multiplication not a variable. Table 3: Properties of Inequality Exactly one of the following is true: a < b, a = b, a > b. If a > b and b > c, then a > c. If a > b, b < a. If a > b, then a + c > b + c. If a > b and c > 0, then a x c > b x c. * If a > b and c < 0, then a x c < b x c. * If a > b and c > 0, then a ÷ c > b ÷ c. If a > b and c < 0, then a ÷ c < b ÷ c. *The x represents multiplication not a variable.
Division property of equality If a = b and c ≠ 0, then a ÷ c = b ÷ c. Substitution property of equality If a = b, then b may be substituted for a in any expression containing a. *The x represents multiplication not a variable. Table 3: Properties of Inequality Exactly one of the following is true: a < b, a = b, a > b. If a > b and b > c, then a > c. If a > b, b < a. If a > b, then a + c > b + c. If a > b and c > 0, then a x c > b x c. * If a > b and c < 0, then a x c < b x c. * If a > b and c > 0, then a ÷ c > b ÷ c. If a > b and c < 0, then a ÷ c < b ÷ c. *The x represents multiplication not a variable.
Algebra_I_Part_A_2016.docx