Question

Consider the given statement. At least one gift in the bag is wrapped.

For each statement below, determine whether it is a negation of the given statement is True or False.

At least one gift in the bag is not wrapped.

Not every gift in the bag is wrapped.

Every gift in the bag is wrapped.

None of the gifts in the bag are wrapped.

Answer 1

The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False

• At least one gift in the bag is not wrapped - False
• Not every gift in the bag is wrapped-True
• Every gift in the bag is wrapped-False
• None of the gifts in the bag are wrapped-False

Explanation:

Given statement is At least one gift in the bag is wrapped is true

The negation to the given statement is " At least one gift in the bag is not wrapped" - False

To determine whether the statement is a negation of the given statement is True or False :

At least one gift in the bag is not wrapped - False

Not every gift in the bag is wrapped-True

Every gift in the bag is wrapped-False

None of the gifts in the bag are wrapped-False