contestada

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.

Respuesta :

mhanifa

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 statement as per the rule should be:

  • 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 above

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

  • False

Correct answer is option C)

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