Which of the following Boolean expressions is not logically equivalent to the other three?Optionsnot(−6 < 0 or −6 > 10)not(−6 < 10 or −6 == 10)not(−6 > 10 or −6 == 10)−6 >= 0 and −6 <= 10
Question
Which of the following Boolean expressions is not logically equivalent to the other three?Optionsnot(−6 < 0 or −6 > 10)not(−6 < 10 or −6 == 10)not(−6 > 10 or −6 == 10)−6 >= 0 and −6 <= 10
Solution
To find out which Boolean expression is not logically equivalent to the other three, we need to evaluate each one:
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not(−6 < 0 or −6 > 10): This expression evaluates to False because -6 is less than 0, so the part inside the parentheses is True, and the 'not' operator makes the whole expression False.
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not(−6 < 10 or −6 == 10): This expression evaluates to False because -6 is less than 10, so the part inside the parentheses is True, and the 'not' operator makes the whole expression False.
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not(−6 > 10 or −6 == 10): This expression evaluates to True because -6 is neither greater than 10 nor equal to 10, so the part inside the parentheses is False, and the 'not' operator makes the whole expression True.
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−6 >= 0 and −6 <= 10: This expression evaluates to False because -6 is not greater than or equal to 0, so the whole expression is False.
So, the Boolean expression that is not logically equivalent to the other three is the third one: not(−6 > 10 or −6 == 10).
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