(Solved): Use Logical Equivalence Theorem to verify the logical equivalences below. (pq)((q( ...

Use Logical Equivalence Theorem to verify the logical equivalences below. $$(p?q)?((q?(?r))?(p?r))??[?(p)?(?q)]$$ QUESTION 2 Let the universal set be $$\mathbb{R}$$, the set of all real numbers, and let $$P=(?1,0]=\{x?\mathbb{R}??1<x?0\}$$ and $$Q=[0,1)=\{x?\mathbb{R}?0?x<1\}$$ i. Find $$P?Q$$ ii. Find $$P?Q$$ Find $$Q?P$$ iv. Find $$P_c$$ Find minimum spanning trees that can be obtained using Kruskal's algorithm.