Write the negation of the following statement. 10 > 5 and 3 < 8

QUESTION

Miscellaneous Exercise 1 | Q 4.22 | Page 34

Write the negation of the following statement.

10 > 5 and 3 < 8

SOLUTION

Let p : 10 > 5.
q : 3 < 8.

The given statement in symbolic form is p ∧ q.

Its negation is ~(p ∧ q) ≡ ~p ∨ ~q.

∴ The negation of given statement is '10 ≤ 5 or 3 ≥ 8.'