Working with
Compound Sentences

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Determine the truth value of the following compound statements.

1.

"5 is an even number and 5 is a 
prime number."

Choose:

True
False

 

 

2.

"A square is a rectangle or a triangle has three sides."

Choose:

True
False

 

 

3.

"If  2 + 2 = 4  and  1 + 1 = 2,
then  2 + 1 = 6."

Choose:

True
False

 

 

4.

"It is not true that:
 15 + 3 = 18
and  9 - 12 = 3."

 

Choose:

True
False

 

 

5.

If 4 is even and 5 is odd, then 11 is prime.

Choose:

True
False

 

 

6.

Let p represent "2x + 2 = 12" and
  q represent "2x + 3x =30." 
 What is the truth value of 
p and q  when x = 5?

Choose:

True
False

 

 

7.

Let p represent "the polygon has 4 sides" and q represent "all of the angles of the polygon are equal."  What is the truth value of  p or q  when the polygon is a right triangle?

Choose:

True
False

 

 

8.

"If  (3)(4) = 11 and  (4)(3) = 11, 
then  (3)(4) = (4)(3)."

Choose:

True
False

 

 

9.

When fact 1 is true and fact 2 is false, the truth value of the negation of (fact 1 or fact 2)
will be ______.

 

Choose:

True
False

 

 

10.

Let p represent "5 is a factor of 35."
Let q represent "35 is the square of an integer."
Let r represent "35 is divisible by 7."
The truth value of the sentence 
"
If r, then (p or q)."
will be _____.

 

Choose:

True
False