Question
- Given
p: A square has five sides.
q: Vertical angles are not congruent.
r: An octagon has 8 sides.
s: Right angles are equal to
What would be the symbols that represent the following statement?
A square does not have five sides or an octagon has 8 sides.
p: A square has five sides.
q: Vertical angles are not congruent.
r: An octagon has 8 sides.
s: Right angles are equal to
What would be the symbols that represent the following statement?
A square does not have five sides or an octagon has 8 sides.
Ask by Reed George. in the United States
Dec 18,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The symbolic representation of the statement “A square does not have five sides or an octagon has 8 sides” is ¬p ∨ r.
Solution
To symbolize the statement “A square does not have five sides or an octagon has 8 sides” using the given propositions:
- p: A square has five sides.
- r: An octagon has 8 sides.
Here’s the breakdown:
- A square does not have five sides translates to the negation of p, which is ¬p or ~p.
- An octagon has 8 sides is simply r.
Combining these with the logical “or” operator (∨), the full symbolic representation is:
¬p ∨ r
Alternatively, using the tilde symbol for negation, it can be written as:
~p ∨ r
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To express the statement “A square does not have five sides or an octagon has 8 sides,” we need to translate it using logical symbols. The negation of the statement “A square has five sides” is represented as ¬p, and the statement “An octagon has 8 sides” is represented as r. Thus, you would write the expression as ¬p ∨ r.
So, the final symbols representing the statement are: ¬p ∨ r.
