Inequality Change Pre

Proof: Inequality Change Pre

Let's prove the following theorem:

if the following are true:
  • a > b
  • c < 0

then b ⋅ c > a ⋅ c

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 a > b
2 c < 0
Proof Table
# Claim Reason
1 b < a if a > b, then b < a
2 b ⋅ c > a ⋅ c if c < 0 and b < a, then b ⋅ c > a ⋅ c

Comments

Please log in to add comments