Answer by T or F There exist functions Q irreversible R sati

Answer by T or F. There exist functions Q irreversible R satisfying g compositefunction f = id_Q. There exist functions Q irreversible R satisfying f compositefunction g = id_g. There exist functions Q N irreversible N satisfying g compositefunction f = id_QN. N ~ (Q \\ Z) There exists an injection Q^3 rightarrow P, where P = {2, 3, 5, 7, 11, 13, 17, ..} is the set of prime numbers. The set {[- 1, n] | n elementof N} is countable. The set {x elementof R | x^2 +8x+ 35 elementof Z} is countable. The set {9x, y) elementof R^2 | x^2 + y2

Solution

(a) F

(b) F

(c) F

(d) F

(e) T

(f) F

(g) T

(h) F

(i) T

(j) F

(k) T

(l) T

(m) F

(n) F

(o) T

(p) T