Homework - Conjunction, Disjunction and Conditional Stmts.

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.

Tags

CCSS.HSS.CP.A.1

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.

Tags

CCSS.3.OA.D.9

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

Tags

CCSS.HSS.CP.A.1

Identify the truth value of the following sentence:

"13 is an odd number or dogs meow."

• True

• False

Tags

CCSS.HSS.CP.A.1

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.

•  $\sim r\rightarrow p$  

•  $q\rightarrow\sim r$  

•  $\sim r\rightarrow\sim p$  

•  $r\rightarrow\sim p$  

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."

•  $\sim q\rightarrow p$  

•  $q\rightarrow r$  

•  $\sim q\rightarrow\sim r$  

•  $\sim q\rightarrow r$