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Solve for m.

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16≤m–17≤
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13
Write your answer as a compound inequality with integers.

1 answer

To solve the compound inequality \(-16 \leq m - 17 \leq -13\), we can break it down into two parts and solve each part separately.

  1. Solve the left part of the inequality: \[ -16 \leq m - 17 \] To isolate \(m\), add \(17\) to both sides: \[ -16 + 17 \leq m \] \[ 1 \leq m \] or equivalently, \[ m \geq 1 \]

  2. Solve the right part of the inequality: \[ m - 17 \leq -13 \] Again, add \(17\) to both sides: \[ m \leq -13 + 17 \] \[ m \leq 4 \]

Now we can combine the results of both parts into a compound inequality: \[ 1 \leq m \leq 4 \]

Thus, the solution for \(m\) is: \[ \boxed{1 \leq m \leq 4} \]