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**[SOLVED] Simplifying Expressions**

Hello all I am a bit confused about the laws I am learning about right now and attempted some of my own exercises to understand them a bit.

I have the problem

**NOT(a < 20 AND (b < 10 OR b > 10))**and I need to simplify it.

From my understanding I can use DeMorgan's Law which then gives me the expression

**NOT a < 20 OR NOT(b < 10 OR b > 10)**. I can then use the Distributive Property to create the expression

**(NOT a < 20 OR NOT b < 10)**

**AND (NOT a < 20 OR NOT b > 10)**.

What I am confused about is after I use DeMorgan's Law the first time is it correct to use the Distributive Law next? Or should I have used DeMorgan's Law again?

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