Put the steps to the proof that the sum t=r+s
is irrational if r is a rational and s is rational in the correct sequence.
Step 1. Subtract, writing s as a fraction.
Step 2. For a contradiction, assume that t is rational, and write r and t as fractions.
Step 3. Realize a contradiction.
Step 4. Find a common denominator.
(1 point)
Responses
Step 1, Step 3, Step 2, Step 4
Step 1, Step 3, Step 2, Step 4
Step 4, Step 2, Step 1, Step 3
Step 4, Step 2, Step 1, Step 3
Step 2, Step 4, Step 1, Step 3
Step 2, Step 4, Step 1, Step 3
Step 3, Step 4, Step 2, Step 1
Step 2, Step 4, Step 1, Step 3
Step 2, Step 4, Step 1, Step 3
The correct sequence of steps for the proof that the sum t=r+s is irrational if r is rational and s is rational is:
Step 1. Subtract, writing s as a fraction.
Step 2. For a contradiction, assume that t is rational, and write r and t as fractions.
Step 3. Realize a contradiction.
Step 4. Find a common denominator.
Therefore, the correct sequence is: Step 1, Step 3, Step 2, Step 4.