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WRITING A CONTRAPOSITIVE STATEMENT

The contrapositive statement can simply be expressed by this:

"If not q, then not p."

To further understand p and q, here are their representations.

In a conditional statement, written as "If p, then q.", p refers to the hypothesis while q refers to the conclusion.

Given the statement: "If a celestial body is not a satellite, then it does not orbit a planet."

The p or the hypothesis is: A celestial body is not a satellite.

The q or the conclusion is: It does not orbit a planet.

Now, in order to create its contrapositive form, we need to follow the format that we stated above, which is: "If not q, then not p."

Then, the contrapositive statement is:

"If a celestial body does not NOT orbit a planet, then it is NOT not a satellite."

However, if we will let our answer this way, it is ungrammatical. Notice the repeated words "not not". When two negative words follow each other in a statement, it will be eliminated, thus creating positive. This means that instead of saying "not not", we will omit them in the sentence which will result to:

"If a celestial body does orbit a planet, then it is a satellite."

And as the general rule, when a conditional statement is TRUE, its contrapositive will also and always be TRUE.

Let us try making another contrapositive statement from this conditional statement:

"If a triangle has a right angle and two equal legs, then it is an isosceles right triangle."

In order to make its contrapositive, let us identify first the p and q.

• p: A triangle has a right angle and two equal legs.
• q: It is an isosceles right triangle.

Formulating its contrapositive statement, the statement above will become:

"If a triangle is not an isosceles right triangle, then it does not have a right angle and two equal legs."

Here is another example of a conditional statement: brainly.ph/question/9698804

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