Rewrite the following statement formally. Use variables and include both quantifiers ? and ? in your answer.
Every even integer greater than 2 can be written as a sum of two prime numbers.
? even integer n that is greater than 2, ? prime numbers p and q such that n = p + q:
Or: ? even integer n, if n > 2 then ? prime numbers p and q such that n = p + q:
You might also like to view...
Find the indicated vector.Let u = , v =
. Find v - u.
A.
B.
C.
D.
Factor completely.12m2n + 24m2 - 4mn - 8m
A. 4m(3m + 1)(n - 2) B. (3m - 1)(n + 2) C. 4m(3m - 1)(n + 2) D. m(3m - 1)(n - 2)
Find the indicated sum.
A. 99 B. 198 C. 135 D. 63
Find the remaining zeros of f(x) given that c is a zero. Then rewrite f(x) in completely factored form.f(x) = x3 + 2x2 - 9x - 18; c = 3 is a zero
A. -3; f(x) = (x + 3)(x2 - x - 6) B. -3, -2; f(x) = (x + 3)(x + 2)(x - 3) C. -2; f(x) = (x + 2)(x2 + x - 9) D. -3, 2, 3; f(x) = (x + 3)(x - 2)(x - 3)