Let x and y be numbers such that - `yltxlty`. Which of the following must be true?
`I.absxlty`
`II. Xgt0`
`III. Ygt0`

Let a and b be numbers such that -a lt b +1 lt a. Which of the following must be true ? I. a gt 0 II. |b| lt a III. b gt a +1

If xgt0 then which of the following is true

If xylt0 , which of the following must be true? I. x+y=0 II. 2x-2ylt0 III. x^(2)+y^(2)gt0

Which of the following is not true log(1+x)ltx for xgt0

Which of the following is not true log(1+x)ltx for xgt0

If x = -|x| , then which one of the following statements could be true? I. x = 0 II. x III. x > 0

If 0 < y < x , which statement must be true?

If (secx)(tanx) lt 0 , which of the following must be true? I. tan xlt0 II. Csc x cot x lt 0 III. X is in the third or fourth quadrant

Let S be a non-empty subset of R. consider the following statement: P: There is a rational number x inS such that xgt0 . Which of the following statements is the negation of the statement P?