Deductive reasoning pratice

Using the law of detachment find the solution If I don't drink water then I will be thirsty. I am thristy

The law of syllogism is if p>q is true and p is true then q is true

Using the law of detachment find the solution If I am tired then my head hurts. My head hurts

The law of detachment is If p equals q and p is also true. Then q is true.

Using the law of detachment solve this statement If you do not study then you will fail. You do not study

Using the law of syllogism solve this statement If I have small legs then each stride is smaller. If each stride is smaller then I walk slow

The law of syllogism is If p equals q and if q equals r, then p equals r.

using the law of syllogism solve this statement If I am a mammal then there is hair on my body. If there is hair on my body then I can get lice

The law of syllogism is If p equals q and p is also true. Then q is true.

Using the law of syllogism solve this statement If I have a jacket on its cold outside. If its cold outside I wear gloves