2. In each of the following, clearly circle the answer dolce which is correct. E

Question

2. In each of the following, clearly circle the answer dolce which is correct. Each is worth mark. (a) Let p be the statement "she gets high marks and q be the statement "she works hard". Which of the following is logically equivalent to "She works hard, but she doesn't get high marks"? PA (b) Which of the following is logically equivalent to -(Vz e Z,x>z) (c) Let S be the set containing all the letters in the word "apple. Which one of the following statements is False? (d) Which of the following are True for all non-empty sets A and B A: None of them B: 1 only C: 1 and 4 only D: All of them

Explanation / Answer

(2)

(a) Option (c) q->~p is correct

Given that p statement " She gets high marks "

q statement " She works hard "

So if we have to write "She works hard but she desn't get high marks" written as q->~p

(b) Option (C) Correct

Since there is negation before the statement the negation is applicable only to one statement so here it applies to the second statement that is x^2<=x

(c) Option (B) is correct

Given that S = {a,p,p,l,e}

Option B said that 'a' not belongs to S, But in question a belongs to S, So option B is wrong

(d) Option (B) is correct

Given that A and B are non -zero sets , We can prove only A+B = B+A , We say that all of the other are wrong statements.

Pleask ask further questions as a next question, Thank you

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