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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

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Solution

To find out which Boolean expression is not logically equivalent to the other three, we need to evaluate each one:

  1. 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.

  2. 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.

  3. 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.

  4. −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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