QuestionLet $p$ : This is a turtle; $q$ : This is a reptile. Write "Not a turtle if not a reptile" in symbols.

Studdy Solution

STEP 1

Assumptions1. $p$ represents the statement "This is a turtle." . $q$ represents the statement "This is a reptile."

STEP 2

The given compound statement is "This is not a turtle if it's not a reptile." This is a conditional statement of the form "If not q, then not p."

STEP 3

In symbolic form, "not p" is represented as $\neg p$ and "not q" is represented as $\neg q$ .

STEP 4

A conditional statement "If p, then q" is represented symbolically as $p \rightarrow q$ .

STEP 5

Substitute $\neg q$ for p and $\neg p$ for q in the conditional statement to get the symbolic form of the given compound statement.
$\neg q \rightarrow \neg p$ The compound statement "This is not a turtle if it's not a reptile" in symbolic form is $\neg q \rightarrow \neg p$ .

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