QuestionTry Again
Your answer is incorrect.
Consider the given statement.
Not all shoes on display are new.
For each statement below, determine whether it is a negation of the given statement.
\begin{tabular}{|l|c|c|}
\hline & Yes & No \\
\hline None of the shoes on display are new. & & \\
\hline Some shoes on display are new. & & \\
\hline Some shoes on display are not new. & & \\
\hline
\end{tabular}
Studdy Solution
STEP 1
1. We need to determine the negation of the statement "Not all shoes on display are new."
2. The negation of a statement reverses its truth value.
STEP 2
1. Understand the original statement.
2. Determine the logical negation.
3. Evaluate each given statement to see if it matches the negation.
STEP 3
The original statement "Not all shoes on display are new" implies that there is at least one shoe on display that is not new.
STEP 4
The negation of "Not all shoes on display are new" is "All shoes on display are new."
STEP 5
Evaluate each statement:
- "None of the shoes on display are new." This means all shoes are not new, which is not the negation.
- Answer: No
- "Some shoes on display are new." This is consistent with the original statement, not its negation.
- Answer: No
- "Some shoes on display are not new." This is the original statement itself, not its negation.
- Answer: No
The negation of the original statement is not explicitly listed in the given options. Therefore, none of the provided statements are the negation of the original statement.
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