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$Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -7p-4 > 26 p-94$

Solve for $p$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ -7p - 4 > 26p - 94

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Solve multi-step inequalities

Full solution

Q. Solve for

p

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-7p - 4 > 26p - 94

Isolate variable term: Isolate the variable term on one side of the inequality by adding $7p$ to both sides. $\newline$ -7p - 4 + 7p > 26p - 94 + 7p $\newline$ -4 > 33p - 94
Further isolate variable term: Next, isolate the variable term further by adding $94$ to both sides of the inequality. $\newline$ -4 + 94 > 33p - 94 + 94 $\newline$ 90 > 33p
Divide both sides: Divide both sides of the inequality by $33$ to solve for $p$ . $\newline$ \frac{90}{33} > \frac{33p}{33} $\newline$ \frac{90}{33} > p
Reduce fraction: Reduce the fraction $\frac{90}{33}$ to its lowest terms. $\newline$ $\frac{90}{33} = \frac{30}{11}$ $\newline$ \frac{30}{11} > p

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