Q.Write the component statements of the following compound statements and check whether the compound statement is true or false.

1. "A line is straight and extends indefinitely in both directions." p: A line is straight (True, by definition). q: A line extends indefinitely in both directions (True, by definition). $p \wedge q$: $T \wedge T =$ True.
2. "0 is less than every positive integer and every negative integer." p: 0 is less than every positive integer (True). q: 0 is less than every negative integer (False — every negative integer is less than 0, not the other way round). $p \wedge q$: $T \wedge F =$ False.
3. "All living things have two legs and two eyes." …

Isolate each "and"-connected component, judge each one's truth from basic facts/definitions, then use: compound …

• Overlooking a single counter-example (like a legless animal) that makes a universal claim false. …