Algebra I / Chapter 5: Inequalities / Inequalities

Transitive Property of Inequality 2

This is similar to the Transitive Property of Equality, but we should carefully follow the comparison symbols used in the property. More precisely:

if the following are true:
  • a < b
  • a = c

then c < b

Here are some examples:

  1. if the following are true:
    • x < y
    • x = 3

    then 3 < y

  2. if the following are true:
    • j + 4 < 7
    • j + 4 = k

    then k < 7

  3. if the following are true:
    • m ⋅ n < 2
    • m ⋅ n = j ⋅ k

    then j ⋅ k < 2

Quiz (1 point)

Please fill in the blank using the Transitive Property of Inequality:

if (x < 8) and (x = y), then y < ____

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