Question

deductive reasoning lesson (geometry concepts)
if i go to school, then i take math.
i dont go to school
p→q
¬q
¬p
law of syllogism
if i go to school, then i take math. p→q
if i take math, then i have homework. q→r
if i go to school, then i have homework. p→r

1. what can you conclude from the law of syllogism p→q and q→r are true

q→p
r→q
p→r
r→p

Explanation:

Step1: Recall law of syllogism

The law of syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\) are true, then \(p
ightarrow r\) is true.

Answer:

C. \(p
ightarrow r\)