Solve for n. -1(n - 9) < 1 ______

Distribute -1: Distribute -1 across the parentheses. -1(n - 9) becomes -1*n + 1*9, which simplifies to -n + 9. Calculation: -1(n - 9) = -n + 9Move terms: Move all terms involving n to one side and constant terms to the other side of the inequality to isolate n. Calculation: -n + 9 -8/-1 → n > 8

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Solve for $n$ . $\newline$ -1(n - 9) < 1

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

n

\newline

-1(n - 9) < 1

Distribute $-1$ : Distribute $-1$ across the parentheses. $-1(n - 9)$ becomes $-1 \cdot n + 1 \cdot 9$ , which simplifies to $-n + 9$ . $\newline$ Calculation: $-1(n - 9) = -n + 9$
Move terms: Move all terms involving $n$ to one side and constant terms to the other side of the inequality to isolate $n$ .
Calculation: -n + 9 < 1 \rightarrow -n + 9 - 9 < 1 - 9 \rightarrow -n < -8
Divide and solve: Divide both sides of the inequality by $-1$ to solve for $n$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ Calculation: -\frac{n}{-1} > -\frac{8}{-1} \rightarrow n > 8