There are several statements in the table below.For each, determine whether it is a negation of this statement.The dress is blue.Statement Negation?Yes NoIt is not the case that the dress is blue. It is not the case that the dress is brown. The dress is brown. The dress is not green.
Question
There are several statements in the table below.For each, determine whether it is a negation of this statement.The dress is blue.Statement Negation?Yes NoIt is not the case that the dress is blue. It is not the case that the dress is brown. The dress is brown. The dress is not green.
Solution
The table with the statements and whether they are a negation of "The dress is blue" would look like this:
| Statement | Negation? |
|---|---|
| It is not the case that the dress is blue. | Yes |
| It is not the case that the dress is brown. | No |
| The dress is brown. | No |
| The dress is not green. | No |
Explanation:
- "It is not the case that the dress is blue." is the direct negation of "The dress is blue." So, it's a 'Yes'.
- "It is not the case that the dress is brown." is not a negation of "The dress is blue." It's talking about a different color. So, it's a 'No'.
- "The dress is brown." is also not a negation of "The dress is blue." It's just stating a different color. So, it's a 'No'.
- "The dress is not green." is not a negation of "The dress is blue." It's negating a different color. So, it's a 'No'.
Similar Questions
There are several statements in the table below.For each, determine whether it is a negation of this statement.Ivan is wearing boots.Statement Negation?Yes NoIvan is wearing sandals. Ivan is not wearing boots. Ivan is not wearing tennis shoes. It is not the case that Ivan is wearing boots.
There are several statements in the table below.For each, determine whether it is a negation of this statement.x is not equal to 300.Statement Negation?Yes Nox is equal to 100. x is equal to 300. x is not equal to 400. It is not the case that x is equal to 400.
The second statement is a negation of the first statement.
Draw truth-table for negation.
Statements:Only blues are reds.Some blues are greens.Each green is pink.Conclusions:I.Few blues are pinks.II.Some reds can be greens.Select one:a. Only conclusion II followsb. None of the abovec. Neither conclusion I nor conclusion II followsd. Both conclusion I and conclusion II follow.e. Only conclusion I follows
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