Maths-

General

Easy

Question

# Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.

If an element is in set A, then it is in set B.

If an element is in set C, then it is in set A.

Hint:

### Law of Syllogism states that:

1) if p q is true

2) If q r is true

then we can conclude that p r is also true.

## The correct answer is: Hence, the new conditional statement is “If an element is in set C, then it is in set B”.

### It is given that: If an element is in set A, then it is in set B and If an element is in set C, then it is in

set A. So if we take

p = Element is in set C

q = Element is in set A

r = Element is in set B

So can write the given statement “If an element is in set C, then it is in set A” as p q and the

statement “If an element is in set A, then it is in set B” can be written as q r.

So, we can conclude that p r which means that If an element is in set C, then it is in set B.

Final Answer:

Hence, the new conditional statement is “If an element is in set C, then it is in set B”.

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