# Contra Positive Statements

Consider the following “if-then” statement:

If Ravi does not study, he will not pass the test.

The contra positive of this statement is:

If Ravi passes the test, then he has studied

The contra positive of

*p ⇒ q*is

~

*q⇒*~

*p*

**Example 1:**

If the weather is cold, then it will snow.

**Solution:**

If it will not snow, then the weather is not cold.

**Example 2:**

I will keep this job if I get a raise in salary.

**Solution:**

If I will not keep the job, then I will not get a raise in salary.

**Example 3:**

If

*x*is odd then is odd

**Solution:**

If is not odd (even), then

*x*is not odd (even).