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solve the inequality 2/5m - 7 ≤ 17

the solution to the inequality is _ make sure your variable is on the left

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To solve the inequality \( \frac{2}{5}m - 7 \leq 17 \), follow these steps:

  1. Add 7 to both sides to isolate the term with the variable: \[ \frac{2}{5}m - 7 + 7 \leq 17 + 7 \] Simplifying this gives: \[ \frac{2}{5}m \leq 24 \]

  2. Multiply both sides by \( \frac{5}{2} \) to solve for \( m \). Note that since \( \frac{5}{2} \) is a positive number, the inequality direction remains the same: \[ m \leq 24 \times \frac{5}{2} \] Calculating the right side: \[ 24 \times \frac{5}{2} = 24 \times 2.5 = 60 \]

  3. Hence, the solution to the inequality is: \[ m \leq 60 \]

So, the complete solution to the inequality is: \[ m \leq 60 \]