Statements and Connectives

Mathematical reasoning involves analyzing statements and their logical relationships.

Statements

Examples of statements:

• "2 + 2 = 4" (True statement)
• "The sun rises in the west" (False statement)
• "x + 5 = 10" (Not a statement because its truth depends on x)

Negation

Example: Negation

Conjunction

Disjunction

Implication

Practice Problems

1. Write the negation of "Every student passed the exam."
2. Construct the truth table for .
3. Determine if "If 2 + 2 = 5, then the moon is made of cheese" is true or false.
4. Write the converse of "If it rains, then the ground is wet."