The contrapositive of the statement

Question:

The contrapositive of the statement "If you will work, you will earn money" is:

  1. (1) If you will not earn money, you will not work

  2. (2) You will earn money, if you will not work

  3. (3) If you will earn money, you will work

  4. (4) To earn money, you need to work


Correct Option: 1

Solution:

Contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$ is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$

$\mathbf{p} \rightarrow$ you will work

$\mathrm{q} \rightarrow$ you will earn money

$\sim q \rightarrow$ you will not earn money

$\sim p \rightarrow$ you will not work

$\sim q \rightarrow \sim p \Rightarrow$ if you will not earn money, you will not work.

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