Equity Value and Enterprise Value Question

Hi, as I'm prepping for recruiting I have some questions regarding Enterprise Value and Equity Value.

1. If a company buys $100 of PPE in cash, does EV increase and Equity Value stay the same?

2. If a company sells $100 of PPE, does EV decrease and Equity Value stay the same?

3. If a company issues preferred stock, does Equity Value increase or is it treated like debt and stay the same?

I would love to learn the logic behind these questions and not just the answer please hahah.

I had these questions as I've seen different answers from different sources (ChatGPT, BIWS, WSO).