Solve for t. -1(t + 11) - 5 > -14 ______

Distribute and Simplify: Distribute -1 across (t + 11) and simplify the inequality. -1(t + 11) - 5 > -14 -1 * t + (-1 * 11) - 5 > -14 -t - 11 - 5 > -14Combine Like Terms: Combine like terms on the left side of the inequality. -t - 11 - 5 > -14 -t - 16 > -14Isolate Variable Term: Add 16 to both sides of the inequality to isolate the term with the variable t. -t - 16 + 16 > -14 + 16 -t > 2Solve for t: Divide both sides by -1 to solve for t. Remember to reverse the inequality sign when dividing by a negative number. -t / -1 < 2 / -1 t < -2

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Solve for $t$ . $\newline$ -1(t + 11) - 5 > -14

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Algebra 1

Solve advanced linear inequalities

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t

\newline

-1(t + 11) - 5 > -14

Distribute and Simplify: Distribute $-1$ across $(t + 11)$ and simplify the inequality. $\newline$ -1(t + 11) - 5 > -14 $\newline$ -1 \cdot t + (-1 \cdot 11) - 5 > -14 $\newline$ -t - 11 - 5 > -14
Combine Like Terms: Combine like terms on the left side of the inequality. $\newline$ -t - 11 - 5 > -14 $\newline$ -t - 16 > -14
Isolate Variable Term: Add $16$ to both sides of the inequality to isolate the term with the variable $t$ .
-t - 16 + 16 > -14 + 16
-t > 2
Solve for t: Divide both sides by $-1$ to solve for t. Remember to reverse the inequality sign when dividing by a negative number. $\newline$ -t / -1 < 2 / -1 $\newline$ t < -2