What is the negation of the following statement: "n is divisible by 6 or n is divisible by both 2 and 3."

A. n is not divisible by 6 or n is divisible by both 2 and 3.

B. n is not divisible by 6 and n is divisible by both 2 and 3.

C. n is divisible by 6 or n is divisible by both 2 and 3.

D. n is divisible by 6 and n is not divisible by both 2 and 3.

E. n is divisible by 6 and n is divisible by both 2 and 3.

F. n is not divisible by 6 or n is not divisible by both 2 and 3.

G. n is divisible by 6 or n is not divisible by both 2 and 3.

H. n is not divisible by 6 and n is not divisible by both 2 and 3.

Question

Mathematics

Tristan Fuller

3 October, 10:51

What is the negation of the following statement: "n is divisible by 6 or n is divisible by both 2 and 3."

A. n is not divisible by 6 or n is divisible by both 2 and 3.

B. n is not divisible by 6 and n is divisible by both 2 and 3.

C. n is divisible by 6 or n is divisible by both 2 and 3.

D. n is divisible by 6 and n is not divisible by both 2 and 3.

E. n is divisible by 6 and n is divisible by both 2 and 3.

F. n is not divisible by 6 or n is not divisible by both 2 and 3.

G. n is divisible by 6 or n is not divisible by both 2 and 3.

H. n is not divisible by 6 and n is not divisible by both 2 and 3.

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Answers (1)

Know the Answer?

Susan Stewart · Answer 1

H.''n is not divisible by 6 and n is not divisible by both 2 and 3.

Step-by-step explanation:

We are given that a statement ''n is divisible by 6 or n is divisible by both 2 and 3.''

We have to write the negation of the given statement.

Negation: If a statement p is true then its negations is p is false.

n is divisible by 6 then negation is n is not divisible by 6.

n is divided by both 2 and 3 then negation is n is not divisible by both 2 and 3.

Therefore, negation of given statement

''n is not divisible by 6 and n is not divisible by both 2 and 3.

Hence, option H is true.