Logical Operators

___________ of a proposition is a logical operator denoted by ~p which is read as "not p"

  $premise\ 1:\ All\ factors\ of\ 4\ are\ factors\ of\ 8$    $premise\ 2:\ 2\ is\ a\ factor\ of\ 4$ 
 $conclusion:$  ______________________

 Complete the argument to form valid and sound deductive argument.

Consider the proposition, "If a picture paints a thousand words, then I should paint you".

Which logical operator is used?

• Negation

• Disjunction

• Biconditional

• Conditional

It is a term used to describe the propositions in a conjunction.

• disjuncts

• connectors

• conjuncts

• hypothesis

Given the proposition, "Competence is confidence", to be TRUE, what is the truth value of its negation?

• True

• False

Which of the following is representation of a biconditional?

• Betty is a Grade 11 student and James misses his old car.

• Augustine loves her pet cat if and only if James misses his old car.

• James misses her old car or Betty is a Grade 11 student.

• If August loves her pet cat, then Betty is a Grade 11 student.

For conditional propositions, when will it become FALSE?

• hypothesis = T, conclusion = T

• hypothesis = F, conclusion = T

• hypothesis = T, conclusion = F

• hypothesis = F, conclusion = F

Which statement is a good definition of a rectangle?

• A rectangle is a shape with four sides.
• A rectangle is a shape with two pairs of parallel sides.
• A rectangle is a quadrilateral with four congruent angles.
• A rectangle is a parallelogram with four congruent sides.

Determine whether the sentence below is a statement or not a statement.

 $"x+3=5"$  

• Yes

• No

Which of the following is the truth table for disjunction?

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•