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Let: Question1 Not complete Marked out of 5.00 p represent the proposition \"it

ID: 3745699 • Letter: L

Question

Let: Question1 Not complete Marked out of 5.00 p represent the proposition "it is raining q represent the proposition "Dan brings an umbrella r represent the proposition "Dan oversleeps Which of the following is logically equivalent to the statement: "Dan brings an umbrella only if it is raining and Dan does not oversleep Flag question V(pA) Choose... Which logical equivalence is demonstrated by the following? Choose...* absorption distribution conjunction exiiviy De Morgan's association Finish attempt

Explanation / Answer

1st question:

(C) is correct option. q implies that Dan brings an umbrella and p represents it is raining and negation of r implies that Dan does not oversleep. If both p and ~r satisfies then q will happen. x->y can be interpreted as if y then x.

2nd question:

distribution is the correct option.

(p+q).(r+s) = ((p+q).r)+((p+q).s)

= ((p.q)+(q.r))+((p.s)+(q.s))

Hope this helps.