Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-$4 \mathrm { x } = 7 \mathrm { x }$ (make false)
A) No natural number $x$ satisfies $4 x = 7 x$.
B) There is no natural number $x$ such that $4 x = 7 x$.
C) For every natural number $x , 4 x = 7 x$.

Question

Quizplus · Accepted Answer

For every natural number $x$, $4x$ cannot equal $7x$ because subtracting $4x$ from both sides gives $0 = 3x$, which is not possible for any natural number $x$. Thus, the statement is false.

Use a Quantifier to Make the Following True or False 4x=7x4 \mathrm { x } = 7 \mathrm { x }4x=7x

Use a Quantifier to Make the Following True or False $4 \mathrm { x } = 7 \mathrm { x }$