Gizzimowsidn
Answered

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When [tex]$p$[/tex] is false and [tex]$q$[/tex] is true, then [tex]$p \text{ or } q$[/tex] is _______.

Answer: true

Sagot :

GinnyAnsweridn
Here we have two logical statements:

- [tex]\( p \)[/tex] which is false.
- [tex]\( q \)[/tex] which is true.

We want to find the result of the logical expression [tex]\( p \)[/tex] or [tex]\( q \)[/tex].

A logical OR operation ([tex]\( \vee \)[/tex] or [tex]\(\mid\mid\)[/tex]) works as follows:
- If at least one of the operands is true, the OR expression evaluates to true.
- If both operands are false, the OR expression evaluates to false.

Given:
- [tex]\( p \)[/tex] is false.
- [tex]\( q \)[/tex] is true.

Let's apply these values to the OR operation:

- [tex]\( p \)[/tex] or [tex]\( q \)[/tex] is:
- Since [tex]\( q \)[/tex] is true (and OR requires only one operand to be true for the whole expression to be true),

Therefore, [tex]\( p \)[/tex] or [tex]\( q \)[/tex] is true.
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