Algebra 1 / Chapter 5: Inequalities / Inequalities

Proof: Greater Than Transitive Property

Let's prove the following theorem:

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

then a > c

Proof:

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