Algebra 1 / Chapter 5: Inequalities / Inequalities

Proof: Transitive Property of Inequality 4

Let's prove the following theorem:

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

then c > b

Proof:

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Given
1 a > b
2 a = c
Proof Table
# Claim Reason
1 b < a if a > b, then b < a
2 b < c if b < a and a = c, then b < c
3 c > b if b < c, then c > b
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