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

The correct answer is: Hence, the new conditional statement is “If 𝑥 > 10, then 𝑥2 > 64”.

It is given that: If 𝑥² > 100,then 𝑥² > 64 and If 𝑥 > 10, then 𝑥² > 100. So if we take
p = 𝑥 > 10
p = 𝑥 > 10
r = 𝑥² > 64
So can write the given statement “If 𝑥 > 10, then 𝑥² > 100” as p  q and the statement “If 𝑥² >
100, then 𝑥² > 64” can be written as q   r.
So, we can conclude that p  r which means that If 𝑥 > 10, then 𝑥² > 64.
Final Answer: 
Hence, the new conditional statement is “If 𝑥 > 10, then 𝑥² > 64”.