rectangle ABCD

[jayjay12]

Let "p" represent "the area of rectangle ABCD is 50 square inches." Let "q" represent "The perimeter of rectangle ABCD is 30 inches." Let "r" represent " The length of rectanlge mABCD is twice the width."

Use symbols to represent the conjunction below:

The area of rectangle ABCD is 50 square inches and its length is not twice its width.

My answer was If ( p and q) , then r.

I got this problem wrong may some one plz help me.

Thank you.

 

[pka]

Let "p" represent "the area of rectangle ABCD is 50 square inches." Let "q" represent "The perimeter of rectangle ABCD is 30 inches." Let "r" represent " The length of rectangle ABCD is twice the width." Use symbols to represent the conjunction below:
The area of rectangle ABCD is 50 square inches and its length is not twice its width.

\(\displaystyle p \wedge \neg r\).

 

[jayjay12]

pka, I do not understand what you wrote.

 

[pka]

I don’t think that you really understand any of this. Am I wrong?
I wrote p and not r: \(\displaystyle p \wedge \sim r.\)

 

[soroban]

Hello, jayjay12!

Do you understand ANY of this ??

Let \(\displaystyle p\,=\,\)"The area of rectangle ABCD is 50 square inches".
Let \(\displaystyle q\,=\,\)"The perimeter of rectangle ABCD is 30 inches".
Let \(\displaystyle r\,=\,\)"The length of rectangle ABCD is twice the width".

Use symbols to represent the conjunction below:

"The area of rectangle ABCD is 50 square inches and its length is not twice its width."

My answer was If ( p and q) , then r. . Absolutely not!

There was no mention of the perimeter . . . and why do you have "if-then" ?

\(\displaystyle \underbrace{\text{The area of rectangle ABCD is 50 in}^2}\;\underbrace{\text{and}}\;\underbrace{\text{its length is not twice its width}}\)
. - . . - . . - . . . . . . ↑ . . . . . . . . . . . . . . . . ↑ . - . . . . . . . . . . . .↑
. . . . . . . . . . . . . . .\(\displaystyle p\) . . . . . . . . . . . . . . . . \(\displaystyle \wedge\) . . . . . . . . . . . . .\(\displaystyle \sim r\)