Let [tex]\( p, q, \)[/tex] and [tex]\( r \)[/tex] represent the following simple statements:

[tex]\( p \)[/tex]: It is snowing outside.
[tex]\( q \)[/tex]: I eat bananas.
[tex]\( r \)[/tex]: The taxes are high.

Write the following compound statement in its symbolic form:
"If it is snowing outside or I do not eat bananas, then the taxes are high."



Answer :

Final answer:

The compound statement 'If it is snowing outside or I do not eat bananas, then the taxes are high' can be represented symbolically as (p ∨ ~q) ⇒ r.


Explanation:

Compound Statement in Symbolic Form:

The compound statement 'If it is snowing outside or I do not eat bananas, then the taxes are high' can be represented symbolically as (p ∨ ~q) ⇒ r, where p represents 'It is snowing outside,' q represents 'I eat bananas,' and r represents 'The taxes are high.'

Truth Values:

In this logical expression, the statement will be true unless it is snowing outside or the person does not eat bananas; only then will the taxes be high.


Learn more about Logical Expressions and Symbolic Representations here:

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