Home /
Expert Answers /
Advanced Math /
either-prove-or-disprove-the-statement-below-b-let-t-be-the-statement-exists-m-in-m-pa427
(Solved): Either prove or disprove the statement below (b) Let \( T \) be the statement \[ \exists M \in \m ...
Either prove or disprove the statement below
![(b) Let \( T \) be the statement
\[
\exists M \in \mathbb{R} \forall x \in \mathbb{R}^{+}\left(\log _{2}(x) \leq M\right)
\]](https://media.cheggcdn.com/media/243/24355c40-5113-4653-b9f9-73d2ce395062/phpy69wT0)
(b) Let \( T \) be the statement \[ \exists M \in \mathbb{R} \forall x \in \mathbb{R}^{+}\left(\log _{2}(x) \leq M\right) \] If \( T \) is true, then prove it. If \( T \) is false, disprove it by stating and proving its negation.