Use De Morgan's laws to write the negation of the statement.
-$3

Name: Use De Morgan's laws to write the negation of the statement. -$3 < 7$ or $7 \neq 12$ A) $3 \geq 7$ and $7 = 12$ B) $3 \geq 7$ or $7 \neq 12$ C) $3 \geq 7$ or $7 = 12$ D) $3 < 7$ or $7 = 12$
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Question

Use De Morgan's laws to write the negation of the statement.
-$3 < 7$ or $7 \neq 12$
A) $3 \geq 7$ and $7 = 12$
B) $3 \geq 7$ or $7 \neq 12$
C) $3 \geq 7$ or $7 = 12$
D) $3 < 7$ or $7 = 12$

Quizplus · Accepted Answer

De Morgan's laws state that the negation of a disjunction (or) is the conjunction (and) of the negations. The original statement is true, so its negation must be false. Negating $3 < 7$ gives $3 \geq 7$, and negating $7 \neq 12$ gives $7 = 12$.

Use De Morgan's Laws to Write the Negation of the Statement