For the given statement identify the necessary and sufficent conditions
r : If x is real number such that `xgt0 " then " x+1/xge2`

Explanation

Let p and q denote the statement
p : x is real number such that `xgt0`
q : `x+1/xgt2`
The implication if p, then q indicates that p is sufficent condition for q . That is real number `xgt0` is sufficent for `x+1/xge 2`
So, the sufficent condition is x is a real number sech that `xgt0`
Similarly , if p , then q also indicates that q is necessary for p. That is when x is a real number such that `xgt0,x+1/x` must be greater than or equal to 2 . So necessary condition is `x+x1/xge2`