Question

Given: If a child is at least 4 feet tall, then

he or she can ride the roller coaster. If a
child can reach the red bar, then the child
is at least 4 feet tall.
Which conjecture is valid by the Law of
Syllogism?
F if a child can reach the red bar, then
the child can ride the roller coaster,
G If a child is at least 4 feet tall, then
the child can reach the red bar.
H If a child can ride the roller coaster,
then the child is at least 4 feet tall.
J If a child can ride the roller coaster,
then the child can reach the red bar.
O

Answer 1

By the Law of Syllogism, the valid conjecture is F: If a child can reach the red bar, then the child can ride the roller coaster, because reaching the red bar signifies the child is tall enough for the ride.

Step-by-step explanation:

Answering the student's question on which conjecture is valid by the Law of Syllogism given two premises:

• If a child is at least 4 feet tall, then he or she can ride the roller coaster.
• If a child can reach the red bar, then the child is at least 4 feet tall.

By the Law of Syllogism, which allows us to combine two conditional statements where the conclusion of one is the hypothesis of the other, we can make a valid conjecture. The resulting valid conjecture is:

F. If a child can reach the red bar, then the child can ride the roller coaster.

This is because reaching the red bar implies being at least 4 feet tall, which in turn implies that the child can ride the roller coaster.

Answer 2

F

Step-by-step explanation: