Read the following two statements. then use the law of syllogism to draw a conclusion. if a number is a multiple of 64, then it is a multiple of 8. if a number is a multiple of 8, then it is a multiple of 2.

The conclusion drawn is : If a number is a multiple of 64, then it is a multiple of 2.

Step-by-step explanation:

The law of syllogism states that:

If p, then q.  

If q, then r.  

And we can put them together to conclude:  

If p, then r.

Given statements are:

If a number is a multiple of 64, then it is a multiple of 8.

If a number is a multiple of 8, then it is a multiple of 2.

We can say that :

p is "a number is a multiple of 64"  

q is "a number is a multiple of 8"  

r is "a number is a multiple of 2"

Then we can conclude, If a number is a multiple of 64, then it is a multiple of 2.

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step-by-step explanation: