Question: Write the following as an inequality. $-8$ is less than or equal to $w$, and $-4$ is greater than…

Write the following as an inequality.

$-8$ is less than or equal to $w$, and $-4$ is greater than $w$

Use $w$ only once in your inequality.

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[Symbol options: =, <, >, ≠, ≤, ≥]

Solution

To write the following as an inequality: First, translate the given conditions into inequalities. 1. \(-8\) is less than or equal to \(w\): \[ -8 \leq w \] 2. \(-4\) is greater than \(w\): \[ -4 > w \] Combine these two inequalities: Since both inequalities involve \(w\), we can combine them: \[ -8 \leq w < -4 \] This represents the range of values for \(w\).