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2.02 Language of logic

Interactive practice questions

Answer the following.

a

Which of the following is true for a negation?

It is symbolized by $\sim$~ and is read "Not".

A

It is symbolized by $\Rightarrow$ and is read "If-then".

B

It is symbolized by $\wedge$ and is read "And".

C

It is symbolized by $\vee$ and is read "Or".

D

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

E

It is symbolized by $\sim$~ and is read "Not".

A

It is symbolized by $\Rightarrow$ and is read "If-then".

B

It is symbolized by $\wedge$ and is read "And".

C

It is symbolized by $\vee$ and is read "Or".

D

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

E
b

Which of the following is true for a conjunction?

It is symbolized by $\Rightarrow$ and is read "If-then".

A

It is symbolized by $\sim$~ and is read "Not".

B

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

C

It is symbolized by $\vee$ and is read "Or".

D

It is symbolized by $\wedge$ and is read "And".

E

It is symbolized by $\Rightarrow$ and is read "If-then".

A

It is symbolized by $\sim$~ and is read "Not".

B

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

C

It is symbolized by $\vee$ and is read "Or".

D

It is symbolized by $\wedge$ and is read "And".

E
c

Which of the following is true for a disjunction?

It is symbolized by $\vee$ and is read "Or".

A

It is symbolized by $\sim$~ and is read "Not".

B

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

C

It is symbolized by $\Rightarrow$ and is read "If-then".

D

It is symbolized by $\wedge$ and is read "And".

E

It is symbolized by $\vee$ and is read "Or".

A

It is symbolized by $\sim$~ and is read "Not".

B

It is symbolized by $\Leftrightarrow$ and is read "If and only if".

C

It is symbolized by $\Rightarrow$ and is read "If-then".

D

It is symbolized by $\wedge$ and is read "And".

E
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Answer the following.

Let

  $p$p: A zebra has a mane.
  $q$q: A dog can bark.

What are the following statements in symbolic form?

Let

  $p$p: The lemonade is sour.
  $q$q: The rice is hot.

What are the following statements in symbolic form?

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