Determine which statement follows validly from the statements included.
1) If Delta is an alpha, then Delta is a beta. If Delta is a theta, then Delta is a beta. Either Delta is an alpha or Delta is a theta. Therefore, Delta is ...
2)Either Delta is an alpha or Delta is a beta. If Delta is an alpha, then Delta is a theta. If Delta is a beta, then Delta is a sigma.
Therefore, ...
1) a beta
2)delta is either an theta or a sigma
To determine which statement follows validly from the given statements, let's analyze each statement separately.
Statement 1:
1) If Delta is an alpha, then Delta is a beta.
2) If Delta is a theta, then Delta is a beta.
3) Either Delta is an alpha or Delta is a theta.
From statement 1, we can conclude that Delta must be a beta because if Delta is either an alpha or a theta, it will be a beta based on the given conditions. Therefore, the valid conclusion would be:
Therefore, Delta is a beta.
Statement 2:
1) Either Delta is an alpha or Delta is a beta.
2) If Delta is an alpha, then Delta is a theta.
3) If Delta is a beta, then Delta is a sigma.
From statement 2, we can say that if Delta is an alpha, it will be a theta, and if Delta is a beta, it will be a sigma. However, the statement does not provide any information about whether Delta can only be an alpha or beta. Therefore, we cannot draw a valid conclusion based on the given statements.
So, in conclusion:
1) Statement 1 validly concludes that Delta is a beta.
2) Statement 2 does not provide enough information to draw a valid conclusion.