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In this lesson, we will learn how to draw conclusions from two conditional statements when the conclusion of one statement is the hypothesis of the other.

Q1:

Which of the following statements follows logically from statements A and B?

Q2:

Consider the following two statements:

Statement 1: If A is true, then B is true.

Statement 2: If B is true, then C is true.

If both statements are true, then the law of syllogism tells us that we can write a third true statement:

Statement 3: If A is true, then C is true.

Given statements 3 and 4 below, which of the following statements is also true?

Statement 3: If π π is odd, then both π and π are odd.

Statement 4: If both π and π are odd, then π + π is even.

Statement 5: If a shape is a square, then it has a right angle.

Statement 6: If a shape is a square, then it has a pair of parallel sides.

Shape π has a right angle and a pair of parallel sides. What can we conclude about shape π from the given statements?

Q3:

Rania knows that the following two statements are true:

Bassem got detention and was late home.

Can we conclude that he did not complete his homework?

Engy did not do her homework.

Can we conclude that she was late home?

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