Questions: Let p and q represent the following simple statements. p : I complete my homework. q : I graduate. Write the following compound statement in symbolic form. I do not complete my homework or I graduate.

Let p and q represent the following simple statements. p : I complete my homework. q : I graduate. Write the following compound statement in symbolic form. I do not complete my homework or I graduate.
Transcript text: Let $p$ and $q$ represent the following simple statements. p : I complete my homework. q : I graduate. Write the following compound statement in symbolic form. I do not complete my homework or I graduate.
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Solution

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Solution Steps

Solution
Step 1: Identify the simple statements and assign them symbols
  • I complete my homework is represented by the symbol p.
  • I graduate is represented by the symbol q.
Step 2: Determine the logical structure of the compound statement

The logical structure involves the connectors: 'and', 'or', 'not', 'if...then...', as applicable.

Step 3: Convert the English compound statement into its symbolic form

The symbolic form of the given statement is: I do \neg complete my homew\veek \vee q.

Final Answer:

The symbolic logic form of the given English statement is: $I do \neg complete my homew\veek \vee q$.

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