Solve for t. -1(t - 15) - 13 < -12 ______

Distribute -1: Distribute -1 across the parentheses in the inequality -1(t - 15) - 13 < -12. -1 * t + (-1) * (-15) - 13 < -12 -1t + 15 - 13 < -12Combine like terms: Combine like terms on the left side of the inequality. -1t + 15 - 13 = -1t + 2 So, the inequality becomes -1t + 2 -14 / -1 t > 14

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

t

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-1(t - 15) - 13 < -12

Distribute $-1$ : Distribute $-1$ across the parentheses in the inequality -1(t - 15) - 13 < -12. $\newline$ -1 \times t + (-1) \times (-15) - 13 < -12 $\newline$ -1t + 15 - 13 < -12
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-1t + 15 - 13 = -1t + 2$ $\newline$ So, the inequality becomes -1t + 2 < -12.
Isolate variable term: Isolate the variable term by subtracting $2$ from both sides of the inequality. $\newline$ -1t + 2 - 2 < -12 - 2 $\newline$ -1t < -14
Divide to solve: Divide both sides of the inequality by $-1$ to solve for $t$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ -1t / -1 > -14 / -1 $\newline$ t > 14