Question $4$

Complete a truth table for the following statement and then identify whether the following is a tautology, a contradiction, or a contingent statement $($use only capital T$\text{'}$s and F$\text{'}$s for the truth value assignments$).$

$A(AB)$

$*$Note: Each blank represents either a main or minor logical operator, unless an atomic statement stands on its own.

A B $q,A$

$$

T T I $(AB)q,$

T F $$

$$

$$

F T I $$

$$

$$

F F I $$

$$

$$

Identity? $$