Points) I want to show that \"II r is irrational, then z is irrational\" by cont
ID: 3281909 • Letter: P
Question
Points) I want to show that "II r is irrational, then z is irrational" by contraposition. pose to be true in the first line of the proof? (a) Suppose r2 is rational. (b) Suppose z is rational (e) Suppose if z is irrational, then a? is rational. (d) Suppose z is irrational and z is rational. (e) Suppose for some n 2 1, if n2 is irrational, then n is irrational. What do 1 18. (4 Points) I want to show that "IH a is rational and b is irrational, then a + b is irrational- 1 do a proof by contradiction, what do I suppose to be true in the first line of the prood? (a) Suppose a +b is rational. (b) Suppose a is rational, b is irrational, and a + b is rational. (e) Suppose a is irrational, b is irrational, and a + b is irrational (d) Suppose a is rational, b is rational, and a + b is rational (e) Suppose r and -r 19. (6 Points) Which of the following propositions is equivalent to -(VzP(E) V3yQ)? (e) Va-P(a) vy-Qu) 20. (4 Points) Which of the following statements ()-(vi) are true for an arbitrary set A? (Hint: pick a small example set A to explore the problem with.) (i) A=A (ii) e S P(A) (iv) 0 P(A) (v) P(A) E P(P(A) (vi) Ag P(A)Explanation / Answer
17) option d is correct
Reason:
As we want to show that 'If x2 is irrational then x is irrational ' by contrapositions,
The contrapositive statement of given statement is' x2 is irrational and x is rational.'
So,we will start with option d.