Answer
The new conditional statement using the law of syllogism is that;
If I receive my raise, then I can buy a new computer.
Explanation
The law of syllogism is a form of deductive reasoning. In simple terms, it follows a simple transitive property where
If A = B
And B = C,
Then, A = C.
So, for this question, the statements go thus,
If I receive my raise, then I will have more money.
If I have more money then I can buy a new computer.
We can say
Receiving a raise = Statement A
Have more money = Statement B
Can buy a new computer = Statement C
- If I receive my raise, then I will have more money.
Statement A = Statement B
- If I have more money then I can buy a new computer.
Statement B = Statement C
For the law of syllogism to hold, If A = B and B = C, then A = C.
So,
Statement A has to be equal to Statement C.
So, the interpretation is that
If I receive my raise, then I can buy a new computer.
Hope this Helps!!!