QuestionJuly 23, 2025

Construct the truth table for the following Boolean statements. 4. Clean your room and have a snack.

Construct the truth table for the following Boolean statements. 4. Clean your room and have a snack.
Construct the truth table for the following Boolean statements.
4. Clean your room and have a snack.

Solution
3.7(270 votes)

Answer

The truth table for P \land Q is shown above. Explanation 1. Identify Variables Let P represent "Clean your room" and Q represent "Have a snack." 2. Define the Statement The statement is "Clean your room and have a snack," represented as P \land Q. 3. Construct the Truth Table List all possible truth values for P and Q, then evaluate P \land Q. | P | Q | P \land Q | |-----|-----|-------------| | T | T | T | | T | F | F | | F | T | F | | F | F | F |

Explanation

1. Identify Variables<br /> Let $P$ represent "Clean your room" and $Q$ represent "Have a snack."<br /><br />2. Define the Statement<br /> The statement is "Clean your room and have a snack," represented as $P \land Q$.<br /><br />3. Construct the Truth Table<br /> List all possible truth values for $P$ and $Q$, then evaluate $P \land Q$.<br /><br />| $P$ | $Q$ | $P \land Q$ |<br />|-----|-----|-------------|<br />| T | T | T |<br />| T | F | F |<br />| F | T | F |<br />| F | F | F |
Click to rate:

Similar Questions