Decide whether the statement is true or false.
- $\text { For no real number } y , | y | < 0 \text { and } y ^ { 3 } > 0 \text {. }$

Question

Decide whether the statement is true or false.
-$\text { For no real number } y , | y | < 0 \text { and } y ^ { 3 } > 0 \text {. }$

Quizplus · Accepted Answer

The absolute value of any real number $y$, denoted as $|y|$, is always non-negative, meaning $|y| \geq 0$. Therefore, it's impossible for $|y| < 0$. Additionally, for $y^3 > 0$, $y$ must be positive, but this part of the statement is not inherently contradictory to the nature of absolute values or real numbers; it's the $|y| < 0$ part that makes the statement true, as there are no real numbers $y$ for which $|y| < 0$.

Decide Whether the Statement Is True or False For no real number y,∣y∣<0 and y3>0. \text { For no real number } y , | y | < 0 \text { and } y ^ { 3 } > 0 \text {. } For no real number y,∣y∣<0 and y3>0.

Decide Whether the Statement Is True or False $\text { For no real number } y , | y | < 0 \text { and } y ^ { 3 } > 0 \text {. }$