Solve for p. -1(p - 7) - 19 > -13 ______

Distribute -1: Distribute -1 across the parentheses. -1(p - 7) - 19 > -13 -1 * p + -1 * -7 - 19 > -13 -p + 7 - 19 > -13 Combine like terms: Combine like terms on the left side of the inequality. -p + 7 - 19 > -13 -p - 12 > -13 Isolate variable term: Isolate the variable term on the left side by adding 12 to both sides of the inequality. -p - 12 + 12 > -13 + 12 -p > -1 Divide and reverse inequality: Divide both sides by -1, remembering to reverse the inequality sign because we are dividing by a negative number. -p / -1 < -1 / -1 p < 1

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Solve for $p$ . $\newline$ -1(p - 7) - 19 > -13

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Math Problems

Algebra 1

Solve advanced linear inequalities

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Q. Solve for

p

\newline

-1(p - 7) - 19 > -13

Distribute $-1$ : Distribute $-1$ across the parentheses. $\newline$ -1(p - 7) - 19 > -13 $\newline$ -1 \times p + -1 \times -7 - 19 > -13 $\newline$ -p + 7 - 19 > -13
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ -p + 7 - 19 > -13 $\newline$ -p - 12 > -13
Isolate variable term: Isolate the variable term on the left side by adding $12$ to both sides of the inequality. $\newline$ -p - 12 + 12 > -13 + 12 $\newline$ -p > -1
Divide and reverse inequality: Divide both sides by $-1$ , remembering to reverse the inequality sign because we are dividing by a negative number. $\newline$ -\frac{p}{-1} < -\frac{1}{-1} $\newline$ p < 1