SOLUTION: Give reasons for the steps shown in each proof of each theorem. The domain of each variable is the set of real numbers unless otherwise stated. If 0 < a < b and 0 < c

SOLUTION: Give reasons for the steps shown in each proof of each theorem. The domain of each variable is the set of real numbers unless otherwise stated. If 0 < a < b and 0 < c < d. 1

Question 884312: Give reasons for the steps shown in each proof of each theorem. The domain of each variable is the set of real numbers unless otherwise stated.
If 0 < a < b and 0 < c < d.
1 and
2.
3. and
4.
5.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1. Given, Given
2. Multiplication by a positive value () does not change the inequality (Multiplication rule of inequalities)
3. and Given
4. Same as 2, since
5. From 4, and from 2, so then,

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