Write the following as English sentences For all x Element N

Write the following as English sentences. For all x Element N, x greaterthanorequalto 1 Three exists! x Element R, x greaterthanorequalto 0^x lessthanorequalto 0 Forall x Element N, x is odd rightarrow x^2 is odd. For all y Element R, Three exists! x Element R, x = y^2

Solution

A) for all x in the set of natural numbers , x is greater than or equal to 1 .

B) there always exists an x in the set of real numbers such that x is greater than or equal to zero and x is less than equal to 0

C) for all x in natural numbers , if x is odd , it implies its square is also odd

D) for all y in the set of real numbers , there always exust x in the set of reap numbers such that x is equal to the square of y