Question

Which of the following is not a negation for the statement ''for every $x\in N,x+3<10$''

• A. There exists a number $x$ such that $x\in N,x+3\ge 10$.
• B. It is false that for every $x\in N,x+3<10$.
• C. Not for every $x\in N,x+3<10$.
• D. for every $x\in N,x+3>10$.

Answer 1

The correct option is D for every $x\in N,x+3>10$.

Given statement is ''for every $x\in N,x+3<10$''
So, the negation of this statements is ''There exists a number $x$ such that $x\in N,x+3\ge 10$ ''.
$\therefore$ From given options, every sentences denotes the negation of sentence except ''for every $x\in N,x+3>10$''