use quantifiers to express each of the following statements:?

Question

i. the integer n is not divisible by m
ii. the real number u is not the upper bound for the set A
iii. the real number r is not the limit of the sequence {r1,r2,r3,..}
iv. the vector v is not a linear combination of u1,u2,...,un

Answer 1

#1 -- ∄k∈Z : km=n
#2 -- ∃x∈A : x>u
#3 -- ∃ε>0 : ∀N ∃n>N : |r_n-r| > ε
#4 -- ∄c₁, c₂ ... c_n : [k=1, n]∑(c_k*u_k) = v

Answer 2

have not accomplished this for a on a similar time as; wish i will help... replace the word "whilst" to "if" and advise a "then" at first, so in diverse words, you will have, "If technique blunders have been detected, then no directories is additionally opened and no documents is additionally closed." All directories and all documents are affected, so use known quantifiers; this suggests, E ? [(inverted A)x ~O(x) (and) (inverted A)x ~C(x)]. you additionally can say E ? (inverted A)x ~[C(x) (or) O(x)] utilising DeMorgan's criminal rules.