Which of the following is a negation for “For all real numbers r, there exists a number s such that rs > 10.”
(a) There exists a real number r such that for all real numbers s, rs ?> 10.
(b) For all real numbers r, there does not exist a number s such that rs > 10.
(c) There exists real numbers r and s such that rs ?> 10.
(d) For all real numbers r and s, rs ?> 10.
(e) There exists a real number r and there does not exist a real number s such that rs ?> 10.
(f) For all real numbers r, there exists a number s such that rs ?> 10.
(g) There exists a real number r such that there does not exist a real number s with rs ?= 10.
(a) There exists a real number r such that for all real numbers s, rs ?> 10.
You might also like to view...
Provide an appropriate response.What is comprised of the values of the dependent variable?
A. Model B. Range C. Domain D. Periodic function
Translate to an equation and solve.What number is 4
% of 
Round to the nearest whole number when necessary.
A. 1,390,000 B. 139,000 C. 2409 D. 24,090
Use graphical methods to solve the linear programming problem.A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 18 counselors and 12 aides C. 12 counselors and 18 aides D. 27 counselors and 18 aides
Express the given logarithm as a sum and/or difference of logarithms. Simplify, if possible. Assume that all variables represent positive real numbers.log3 
A. 5 log3x + 3 log3y + log37 B. 5 log3x - 3 log3y - log37 C. 5 log3x + 3 log3y - log37 D. (5 log3x)(3 log3y) - log37