Consider the statement given below and state its dual.Weather is cloudy and it is raining.Question 1Answera.It is not raining, and weather is not cloudy.b.Weather is cloudy, or it is not raining.c.Weather is not cloudy, and it is raining.d.It is raining, or weather is cloudy.
Question
Consider the statement given below and state its dual.Weather is cloudy and it is raining.Question 1Answera.It is not raining, and weather is not cloudy.b.Weather is cloudy, or it is not raining.c.Weather is not cloudy, and it is raining.d.It is raining, or weather is cloudy.
Solution
The dual of the statement "Weather is cloudy and it is raining" can be determined by applying De Morgan's laws.
De Morgan's laws state that the dual of a conjunction (AND) is a disjunction (OR) with the negation of each individual statement.
So, the dual of the statement "Weather is cloudy and it is raining" is:
d. It is raining, or weather is cloudy.
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