Question

Write the dual of the following statement (pvq)vr​

Answer 1

The dual for the given statement is $s*=(p\bigwedge q)\bigwedge r$

Step-by-step explanation:

Given statement is $(p\bigvee q)\bigvee r$

Let the given statement be s.

$s=(p\bigvee q)\bigvee r$

To write the dual for the given statement :

Dual defines that a compound proposition that contains only the logical operators ∨ , ∧ , and ¬. The dual property can be done by replacing the each operator ∨ by ∧ , each operator ∧ by ∨ . The dual of the statement "s" is denoted by s*.

$(p\bigvee q)\bigvee r$

The dual $s*$ for the given statement is $(p\bigwedge q)\bigwedge r$

$s*=(p\bigwedge q)\bigwedge r$

The dual for the given statement is $s*=(p\bigwedge q)\bigwedge r$