Solve for m. -6(m + 16) - 13 > 5 ______

Distribute -6: Distribute -6 across the parentheses in the inequality -6(m + 16) - 13 > 5. -6 * m + (-6) * 16 - 13 > 5 -6m - 96 - 13 > 5Combine like terms: Combine like terms on the left side of the inequality. -6m - 96 - 13 becomes -6m - 109. So, -6m - 109 > 5.Add 109: Add 109 to both sides of the inequality to isolate the term with the variable m. -6m - 109 + 109 > 5 + 109 -6m > 114Divide by -6: Divide both sides of the inequality by -6 to solve for m. Remember to reverse the inequality sign because we are dividing by a negative number. -6m / -6 < 114 / -6 m < -19

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Solve for $m$ . $\newline$ -6(m + 16) - 13 > 5

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

m

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-6(m + 16) - 13 > 5

Distribute $-6$ : Distribute $-6$ across the parentheses in the inequality -6(m + 16) - 13 > 5.
-6 \times m + (-6) \times 16 - 13 > 5
-6m - 96 - 13 > 5
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-6m - 96 - 13$ becomes $-6m - 109$ . $\newline$ So, -6m - 109 > 5.
Add $109$ : Add $109$ to both sides of the inequality to isolate the term with the variable $m$ . $\newline$ -6m - 109 + 109 > 5 + 109 $\newline$ -6m > 114
Divide by $-6$ : Divide both sides of the inequality by $-6$ to solve for $m$ . Remember to reverse the inequality sign because we are dividing by a negative number.\frac{-6m}{-6} < \frac{114}{-6}m < -19