Which of the following Boolean expressions is not logically equivalent to the other three?Optionsnot(−6 > 10 or −6 == 10)−6 >= 0 and −6 <= 10not(−6 < 0 or −6 > 10)not(−6 < 10 or −6 == 10)
Question
Which of the following Boolean expressions is not logically equivalent to the other three?Optionsnot(−6 > 10 or −6 == 10)−6 >= 0 and −6 <= 10not(−6 < 0 or −6 > 10)not(−6 < 10 or −6 == 10)
Solution
The Boolean expressions given are:
- not(−6 > 10 or −6 == 10)
- −6 >= 0 and −6 <= 10
- not(−6 < 0 or −6 > 10)
- not(−6 < 10 or −6 == 10)
Let's evaluate each one:
- not(−6 > 10 or −6 == 10) -> not(False or False) -> not(False) -> True
- −6 >= 0 and −6 <= 10 -> (False and True) -> False
- not(−6 < 0 or −6 > 10) -> not(True or False) -> not(True) -> False
- not(−6 < 10 or −6 == 10) -> not(True or False) -> not(True) -> False
So, the Boolean expression that is not logically equivalent to the other three is the first one: not(−6 > 10 or −6 == 10).
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