Let a be a real number. Regarding the inequality $x + 1 \leq a$, the following are known.
  • $\mathrm { x } = 0$ satisfies this inequality.
  • $x = 4$ does not satisfy this inequality.

Accordingly, what is the widest interval expressing the values that the number a can take?
A) $( 0,4 ]$
B) $[ 0,4 )$
C) $[ 1,4 ]$
D) $( 1,5 ]$
E) $[ 1,5 )$
Let a be a real number. Regarding the inequality $x + 1 \leq a$, the following are known.

\begin{itemize}
  \item $\mathrm { x } = 0$ satisfies this inequality.
  \item $x = 4$ does not satisfy this inequality.
\end{itemize}

Accordingly, what is the widest interval expressing the values that the number a can take?\\
A) $( 0,4 ]$\\
B) $[ 0,4 )$\\
C) $[ 1,4 ]$\\
D) $( 1,5 ]$\\
E) $[ 1,5 )$