Question

PLEASE HELP!!!!
Determine the statement that is logically equivalent to this conditional statement If you have a small lawn to mow, then you do not live in a mansion.
A) If you have a small lawn to mow, then you live in a mansion.
B) If you do not have a small lawn to mow, then you live in a mansion. If you live in a mansion, then you do not have a small lawn to mow.
D) If you do not live in a mansion, then you have a small yard to mow.​

Answer 1

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is

• If you have a small lawn to mow, then you do not live in a mansion.
• "If p then q"

Equivalent statements to the given one:

• 1. Not p or q
• 2. q or not p
• 3. If not q then not p

Options to identify equivalent statement

A)  If you have a small lawn to mow, then you live in a mansion.

• False

B)  If you do not have a small lawn to mow, then you live in a mansion.

• False

C) If you live in a mansion, then you do not have a small lawn to mow.

• True as per rule 3

D)  If you do not live in a mansion, then you have a small yard to mow.

• False

Correct answer is option C