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.

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.

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step-by-step explanation:

sorry no step by step