Question

The following two logical expressions are equivalent:

!(x < 10)
and
x >= 10.
a) True
b) False

Answer 1

The logical expressions !(x < 10) and x >= 10 are equivalent. Therefore, the statement is True.

Step-by-step explanation:

The logical expressions !(x < 10) and x >= 10 are equivalent.

To prove this, we can use De Morgan's law. According to De Morgan's law, the negation of a conjunction (AND) is the disjunction (OR) of the negations. So, the negation of x < 10 is x >= 10.

Therefore, the statement is True.