Question

there are several statements in the table below. for each, determine whether it is a negation of this statement. maria is not wearing tennis shoes. |statement|negation? yes|negation? no| |---|---|---| |maria is wearing sandals.|○|○| |maria is wearing tennis shoes.|○|○| |maria is not wearing sandals.|○|○| |it is not the case that maria is wearing sandals.|○|○|

Explanation:

To determine the negation of "Maria is not wearing tennis shoes", we analyze each statement:

Step 1: Analyze "Maria is wearing sandals"

The original statement is about tennis shoes, and this statement is about sandals. It doesn't directly negate the original (which is about not wearing tennis shoes). So it's not a negation.

Step 2: Analyze "Maria is wearing tennis shoes"

The original statement is "Maria is not wearing tennis shoes". The negation of "not wearing tennis shoes" is "wearing tennis shoes". So this is the negation.

Step 3: Analyze "Maria is not wearing sandals"

This is about sandals, not tennis shoes. Doesn't negate the original statement about tennis shoes.

Step 4: Analyze "It is not the case that Maria is wearing sandals"

This is equivalent to "Maria is not wearing sandals", which is about sandals, not tennis shoes. Doesn't negate the original statement.

Answer:

• Maria is wearing sandals: No
• Maria is wearing tennis shoes: Yes
• Maria is not wearing sandals: No
• It is not the case that Maria is wearing sandals: No