Put the steps to the proof that the sum t = T + s is irrational if r is a rational and s is rational in the correct sequence.

Question

Step 1. Subtract, writing s as a fraction.
Step 2. For a contradiction, assume that t is rational, and write r and † as fractions.
Step 3. Realize a contradiction.
Step 4. Find a common denominator.
(1 point)
• Step 4, Step 2, Step 1, Step 3
• Step 1, Step 3, Step 2, Step 4
• Step 2, Step 4, Step 1, Step 3
• Step 3, Step 4, Step 2, Step 1

Answer 1

The correct sequence of the steps to the proof is:

Step 2: For a contradiction, assume that t is rational, and write r and s as fractions.
Step 4: Find a common denominator.
Step 1: Subtract, writing s as a fraction.
Step 3: Realize a contradiction.

So, the correct order is:

Step 2, Step 4, Step 1, Step 3.