Free Printable Homework - Conjunction, Disjunction and Conditional Stmts.

Worksheets

Homework - Conjunction, Disjunction and Conditional Stmts.

Total questions: 12

Worksheet time: 31mins

Name

Class

Date

p: All birds have feathers

q: Two angles are supplementary if they are a linear pair.

Find p Λ q and the truth value

All birds have feathers or two angles are supplementary if they are a linear pair. True

All birds have feathers and two angles are supplementary if they are a linear pair. True

All birds have feathers and two angles are supplementary if they are a linear pair. False

All birds have feathers or two angles are supplementary if they are a linear pair. False

p: 5 is a rational number

q: 15 is a prime number

Find p ν q

5 is rational number or 15 is a prime number.

5 is not a rational number or 15 is a prime number.

5 is not a rational number and 15 is not a prime number.

5 is rational number and 15 is a prime number.

Provide a counterexample to the following claim:

"All quadrilaterals have at least one set of parallel sides."

Trapezoid

Rectangle

Rhombus

Kite

Which of the following conjectures is false?

The product of two even numbers is even.

The sum of two even numbers is even.

The product of two odd numbers is odd.

The sum of two odd numbers is odd.

Negate the following statement:

"I love geometry."

Geometry I love

If and only if I love geometry

If I love geometry, then I do not love geometry.

I do not love geometry

What is the hypothesis of the statement : "you will be late to school if you miss the bus."

You miss the bus.

If you miss the bus

You will be late

Then you are late

Identify the truth value of the following sentence:

"Halloween is in December and Thanksgiving is in November"

True

False

Identify the truth value of the following sentence:

"13 is an odd number or dogs meow."

True

False

Given:
p: $7^2=49$
q: A rectangle does not have 4 sides
r: Justin Bieber is a singer

Write the following in symbolic form:
If Justin Bieber is not a singer, then $7^2$ is not equal to 49.

$\sim r\rightarrow p$

$q\rightarrow\sim r$

$\sim r\rightarrow\sim p$

$r\rightarrow\sim p$

10.

Given:

p: $7^2=49$

q: A rectangle does not have 4 sides
r: Justin Bieber is a singer

Write the following in symbolic form:
"If a rectangle has 4 sides, then Justin Bieber is a singer."

$\sim q\rightarrow p$

$q\rightarrow r$

$\sim q\rightarrow\sim r$

$\sim q\rightarrow r$

11.

Write the negation of the sentence:

"The current is strong today."

Start with a capital letter and put a period at the the end of the sentence.

(a)

12.

"I can go to the movies with friends if I finish all my homework."

What is the conclusion of this statement?

I can't go to the movies with friends.

I can't finish all my homework.

I finish all my homework.

I can go to the movies with friends.

100 %

Homework - Conjunction, Disjunction and Conditional Stmts.

Total questions: 12

Worksheet time: 31mins

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