Question: Please help with a) b) e) j) of this question. Thank you. 3.7.21. Write the negation of the following statements without using the negation symbol

Please help with a) b) e) j) of this question. Thank you.

Please help with a) b) e) j) of this question. Thank you.

3.7.21. Write the negation of the following statements without using the negation symbol -. Also, for each statement, decide whether it is true or false. Explain your answer briefly. (a) (Vr ER)( y ER)(x2 > y2) (b) (3r E Z) [(x2 = (x + 1)2) = (23 Ez)] @2017 Shay Fuchs. All rights reserved. 79 3.7. EXERCISES FOR CHAPTER 3 CHAPTER 3. INFORMAL LOGIC (c) (Vn E N)[(n - 1)3 +n3 # (n+ 1) 3] (d) [(Vr E R)(x > 0)] = [(Vr ER)(x= r+1)] (e) (Vr E R)[(x2 5 -1) = [(2+1)2 =x2+1]] (f) (Vr E R) [(x > 0) = (3n EN)(n.x> 1)] (g) (Vr ER) ( 3y ER)[(x + y)2 = =2+ y?] (h) (]y ER) (Vr ER)(|x + yl = (x| + lyl) (i) (VI E Q) (7n EN) (n . TEZ) (j) (Vr ER) (Vy ER) [((x + y

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