Given below are two statements: $p$: 25 is a multiple of 5. $q$: 25 is a multiple of 8. Write the compound statements connecting these 2 statements with 'AND' and 'OR'. In both cases, check the validity of the compound statement.

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Accepted Answer

>

> [!TLDR]
> $p$ AND $q$ is a false statement; $p$ OR $q$ is a true statement.
>
> Given:
> $p$: 25 is a multiple of 5 - this is **True**, since $25=5	imes5$.
> $q$: 25 is a multiple of 8 - this is **False**, since $25/8$ is not a whole number.
>
> **Compound statement with AND:**
> "25 is a multiple of 5 and 25 is a multiple of 8."
>
> For an AND (conjunction) statement to be true, BOTH component statements must be true. Since $q$ is false, the compound statement is:
>
> **False.**
>
> **Compound statement with OR:** …

Q.Given below are two statements: $p$ : 25 is a multiple of 5. $q$ : 25 is a multiple of 8. Write the compound statements connecting these 2 statements with 'AND' and 'OR'. In both cases, check the validity of the compound statement.

Concept understanding — Compound Statements

Q.Given below are two statements: ppp: 25 is a multiple of 5. qqq: 25 is a multiple of 8. Write the compound statements connecting these 2 statements with 'AND' and 'OR'. In both cases, check the validity of the compound statement.

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Q.Given below are two statements: $p$ : 25 is a multiple of 5. $q$ : 25 is a multiple of 8. Write the compound statements connecting these 2 statements with 'AND' and 'OR'. In both cases, check the validity of the compound statement.

Unlock everything free for 14 days