Equivalent of it is not true that the test is today or the party is tonight

Question

asked Nov 20, 2023 224k views

1 Answer

Rachel Ambler · Answer 1 · 2023-11-26T00:04:57+0000

This is a logical statement, of the form

$\urcorner(p\lor q)$

where p is the statement "the test is today" and q is the statement "the party is tonight". The DeMorgan's Law indicates that:

$\urcorner(p\lor q)\equiv\urcorner p\wedge\urcorner q$

Therefore the equivalent statement is " the test is not today and the party is not tonight".