Question

Which of the following is a negation for "There exists a real number x such that for all real numbers y, xy > y."1) There exists a real number x such that for all real numbers y, xy ≤ y.2) There exists a real number y such that for all real numbers x, xy ≤ y.3) There exists real numbers x and y such that xy ≤ y.4) For all real numbers x there exists a real number y such that xy ≤ y.5) For all real numbers y there exists a real number x such that xy ≤ y.

Answer 1

Answer:

1) There exists a real number x such that for all real numbers y, xy ≤ y.

Step-by-step explanation:

Given the statement:

"There exists a real number x such that for all real numbers y, xy > y"

The negation of the statement is:

"There exists a real number x such that for all real numbers y, xy ≤ y"

The correct option is 1