Questiona. Rewrite "All playing cards are black." b. What is the negation: "Some playing cards are not black"?
Studdy Solution
STEP 1
Assumptions1. The given statement is "All playing cards are black." . We need to find an equivalent statement and the negation of the given statement.
STEP 2
To find an equivalent statement, we need to express the same meaning as the original statement but in a different way. The original statement says that every single playing card is black.
STEP 3
Looking at the options, we can see that option B, "There are no playing cards that are not black," is the equivalent statement. This statement also implies that every single playing card is black.
STEP 4
To find the negation of a statement, we need to express the opposite of what the original statement is saying. The original statement says that every single playing card is black, so the negation would be that there is at least one playing card that is not black.
STEP 5
Looking at the options, we can see that option D, "Some playing cards are not black," is the negation of the original statement. This statement implies that there is at least one playing card that is not black.
The equivalent statement of "All playing cards are black" is "There are no playing cards that are not black," and the negation of the statement is "Some playing cards are not black."
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