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$Solve for d. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -23 d+81 <= -98 d+1$

Solve for $d$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $-23d + 81 \leq -98d + 1$

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Solve multi-step inequalities

Full solution

Q. Solve for

d

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

\newline

-23d + 81 \leq -98d + 1

Isolate variable term: Isolate the variable term by adding $98d$ to both sides of the inequality. $\newline$ $-23d + 81 + 98d \leq -98d + 1 + 98d$ $\newline$ $75d + 81 \leq 1$
Subtract to isolate term: Subtract $81$ from both sides to isolate the term with the variable $d$ . $\newline$ $75d + 81 - 81 \leq 1 - 81$ $\newline$ $75d \leq -80$
Divide to solve for d: Divide both sides by $75$ to solve for $d$ . $\newline$ $\frac{75d}{75} \leq \frac{-80}{75}$ $\newline$ $d \leq \frac{-80}{75}$
Reduce fraction: Reduce the fraction $-\frac{80}{75}$ to its lowest terms. $\newline$ $-\frac{80}{75}$ can be simplified by dividing both numerator and denominator by $5$ . $\newline$ $d \leq -\frac{16}{15}$

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