Discussion
\(-5 \lt x \leq -1\) implies \(-21 \lt 5x + 4 \leq b\), the least value of \(b\) is
Answer: E
The least value of \(b\) is -1.
Multiply the given range by 5 and add 4:
\[ \begin{aligned} -5 \lt x &\leq -1 \\ -25 \lt 5x &\leq -5 \\ -21 \lt 5x + 4 &\leq -1 \end{aligned} \]
\(5x + 4\) reaches -1 (at \(x = -1\)), so any valid upper bound \(b\) must be at least -1, and the least is -1 itself. -4 and -5 are too small (they fail at \(x = -1\)); 4 and 5 are valid bounds but not the least.
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