Question

If c>0 , |u| > c is equivalent to u < or u>

Answer 1

The true statement is now presented: If $c > 0$ and $|u| > c$, then $u > c$ or $u < -c$.

Mathematically speaking, the absolute value is defined by following expression:

$|a| = \left \{ {{a,\,a \ge 0} \atop {-a,\,a < 0}} \right.$ (1)

If $c > 0$ and $|u| > c$, then $u > c$ or $-u > c$. Hence, $u > c$ or $u < -c$.

Therefore, if $c > 0$ and $|u| > c$, then $u > c$ or $u < -c$. (By tricotomy)

We kindly invite to see this question on absolute values: brainly.com/question/4691050