Mathematical Logic And Boolean Algebra Question 115
Question: Let S be a non-empty subset of R. Consider the following statement: P: There is a rational number $ x\in S $ such that $ x>0 $ . Which of the following statements is the negation of the statement p?
Options:
A) $ x\in S $ and $ x\le 0\Rightarrow x $ is not rational.
B) There is a rational number $ x\in S $ such that $ x\le 0 $ .
C) There is no rational number $ x\in S $ such that $ x\le 0 $ .
D) Every rational number $ x\in S $ satisfies $ x\le 0 $ .
Show Answer
Answer:
Correct Answer: D
Solution:
[d] P: There is a rational number $ x\in S $ such that $ x>0 $ . ~ P: Every rational number $ x\in S $ satisfies $ x\le 0. $
BETA
