Questions: Solve for (m). [ -719 - (-10 m) leq -789 ]

Solve for (m). [ -719 - (-10 m) leq -789 ]
Transcript text: Solve for $m$. \[ -719--10 m \leq-789 \]
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Solution

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Solution Steps

Step 1: Isolate the term with the variable

To isolate the term with the variable \( -10m \), we first need to move the constant term \(-719\) to the other side of the inequality. We do this by adding 719 to both sides of the inequality: \[ -719 - 10m + 719 \leq -789 + 719 \] \[ -10m \leq -70 \]

Step 2: Solve for the variable

Next, we need to solve for \( m \) by dividing both sides of the inequality by \(-10\). Remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign: \[ \frac{-10m}{-10} \geq \frac{-70}{-10} \] \[ m \geq 7 \]

Final Answer

\[ m \geq 7 \]

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