Question

Use the information below for Part A, Part B, and Part C.Statement: Ben runs track and plays football.Negation: Ben does not run track, and he does not play football.

Answer 1

Part A;

$The\text{ mistake is there is the presence of 'and'.}$

Part B;

$Ben\text{ does not run track or he does not play football.}$

Part C;

DeMorgan’s Laws: (negating AND and OR)

(The statements shown are logically equivalent.)

∼(p ∧ q) ↔ (∼p ∨ ∼q)

∼(p ∨ q) ↔ (∼p ∧ ∼q)

Notice that the negation symbol is distributed across the parentheses and the symbols are changed from AND to OR (or vice versa).