Select Letters to Represent the Simple Statements and Write Each $\sim \mathrm { p } \rightarrow \mathrm { q }$

question 94

Multiple Choice

Select letters to represent the simple statements and write each statement symbolically by using parentheses then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.
-It is not true that if you take your vitamins you will stay healthy.

• A) \(\sim \mathrm { p } \rightarrow \mathrm { q }\); conditional
• B) \(\sim ( p \leftrightarrow q )\); negation
• C) \(\sim p \rightarrow ( \sim q )\); conditional
• D) \(\sim ( p \rightarrow q )\); negation

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Definitions:

Decreased

To become smaller or less in size, quantity, intensity, or degree.

Equivalent Phrase

A term or expression that has the same meaning as another, especially in a different mathematical context.

Difference

The outcome of deducting one figure from another.

Algebraic Expression

An expression built from constants, variables, and a finite number of algebraic operations (e.g., addition, subtraction, multiplication, division).