Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-$12 x = 5 x + 7 x$ (make false)
A) More than one natural number $x$ exists such that $12 x = 5 x + 7 x$.
B) For every natural number $x , 12 x = 5 x + 7 x$.
C) There exists a natural number $x$ such that $12 x = 5 x + 7 x$.
D) There is no natural number $x$ such that $12 x = 5 x + 7 x$.

Question

Quizplus · Accepted Answer

$12 x = 5 x + 7 x$ is equivalent to $12 x - 5 x - 7 x = 0$, which is equivalent to $0 = 0$. This is true for all natural numbers $x$, so the statement is false.

Use a Quantifier to Make the Following True or False 12x=5x+7x12 x = 5 x + 7 x12x=5x+7x

Use a Quantifier to Make the Following True or False $12 x = 5 x + 7 x$