Answers are 19)A 20)A 21)B 22)B 25)A Just need help understanding the problem an

Question

Answers are

19)A

20)A

21)B

22)B

25)A

Just need help understanding the problem and the work

19. Is (A U B) -(AVC) u (B C) true or false? (a) True (b) False 20. We know that 2 divides 4 and 2 divides 42. Can we state that whenever (a) True (b) False divides y then z divides y 21. Let z, y Z, and P(x, y) means z+2y ry By P(5,y) (a) True (b) False 22. Let z, y Z, and P(,y) means z + 2y-zy (a) True (b) False 25. Let A,-i-1,0,1, ..i (For example As-3,-2,-1,0,1,2,3]) A1 n A2 n...An- (a) -1,1]nz (d) None of the above

Explanation / Answer

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(A?B)C=(AC)?(BC)

True.

We have,

A?B={x:x?A or x?B}

A?C={x:x?A and x?C}

Combining the above two:

(A?B)?C={x:x?A or x?B and x?C}

(A?C)?(B?C)={x:x?A and x?C}?{x:x?B and x?C} ={x:x?A or x?B and x?C}

Thus proved the above problem.

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