Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-x + x = 6 (make true)
A) There is no natural number $x$ such that $x + x = 6$.
B) There exists a natural number $x$ such that $x + x = 6$.
C) For every natural number $x , x + x = 6$.
D) For all natural numbers $x , x + x = 6$.

Question

Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-x + x = 6 (make true) 
A) There is no natural number $x$ such that $x + x = 6$.
B) There exists a natural number $x$ such that $x + x = 6$.
C) For every natural number $x , x + x = 6$.
D) For all natural numbers $x , x + x = 6$.

Quizplus · Accepted Answer

The equation $x + x = 6$ simplifies to $2x = 6$, which has a solution $x = 3$, a natural number. Therefore, there exists at least one natural number $x$ (specifically, $x = 3$) that satisfies the equation.

Use a Quantifier to Make the Following True or False xxx

Use a Quantifier to Make the Following True or False $x$