Simplification Math Example 1

Solution

1. 1
   The absorption law states: $p \land (p \lor q) \equiv p$.
2. 2
   Verify with truth table row $(T,T)$: $p \lor q = T$; $p \land T = T = p$. Correct.
3. 3
   Row $(T,F)$: $p \lor q = T$; $p \land T = T = p$. Correct.
4. 4
   Row $(F,T)$: $p \lor q = T$; $p \land T = F = p$. Correct.
5. 5
   Row $(F,F)$: $p \lor q = F$; $p \land F = F = p$. Correct.