(Homework Solution): (5*5 + 5*15 + 8*15 + 2*50 320 Points) ue 11 Discuss whether each of the following sentences

(5*5 + 5*15 + 8*15 + 2*50 320 Points) ue 11 Discuss whether each of the following sentences is a proposition. State the type of the statement. 1.1.1 The area of Sudan is larger than that of Egypt and Morocco 1.1.2 This year, the Hajj was the easiest of the last three years. 1.1.3 Harry to the Massged as soon as you hear the Azzan. 1.1.4 Riyadh is the most crowded government in KSA. 1.1.5 Is this the best of all possible worlds? 1.2 In the questions 1-5 below determine whether the proposition is True or False 1.2.1 111 3 if and only if 2+2 3 1.2.2 If it is raining, then it is raining 1.2.3 If 1<0, then 3-4 1.2.4 If 2 +1 3, then 2 3-1. 1.2.5 If 1+1 2 or 1 +1-3, then 2 +2 3 and 2+2-4. Ans Ans: Ans: Ans: Ans: 1.3 Construct the truth table for the 1.4 Find a proposition using only p, q,, and the connective v that has this truth tables. FIT

(5*5 + 5*15 + 8*15 + 2*50 320 Points) ue 11 Discuss whether each of the following sentences is a proposition. State the type of the statement. 1.1.1 The area of Sudan is larger than that of Egypt and Morocco 1.1.2 This year, the Hajj was the easiest of the last three years. 1.1.3 Harry to the Massged as soon as you hear the Azzan. 1.1.4 Riyadh is the most crowded government in KSA. 1.1.5 Is this the best of all possible worlds? 1.2 In the questions 1-5 below determine whether the proposition is True or False 1.2.1 111 3 if and only if 2+2 3 1.2.2 If it is raining, then it is raining 1.2.3 If 1

Expert Answer

answers

1.1 answer)

1.1.1)

area of sudan=1.8 million km2

area of egypt=1.01 million km2

area of morocco=0.665 km2

sudan > egypt+morocco

1.8>1.01+0.665

So this sentence is a propostion. And it’s truth value isTRUE.

1.1.2)

This sentence is not a propostion because we this is ambiguous sentence. We don’t know how the hajji last three years and this year also. So we cannot conclude anything about this sentence.

1.1.3)

1.1.4)

We cannot give TRUE or FALSE value to this sentence. So this is not a propostion.

1.1.5)

We don’t know anything about remaining worlds so we cannot conclude anything. This is an ambiguous sentence.

Therefore, this is not a proposition.

2I 3 and only 23

2I 3 and only 23

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