#  Solve the inequality: 7d/11 + 2 < 2/3

Cassidy

$\frac{7d}{11}+2<\frac{2}{3}$

$\frac{7d}{11}<\frac{2}{3}-2$

$\frac{7d}{11}<\frac{2-6}{3}$

$\frac{7d}{11}<-\frac{4}{3}$

$7d<11 \cdot \left(-\frac{4}{3}\right)$

$7d<-\frac{44}{3}$

$d<\frac{-\frac{44}{3}}{7}$

$d<-\frac{44}{21}$

$d:\begin{bmatrix}\mathrm{Solution:}\:&\:d<-\frac{44}{21}\:\\ \:\mathrm{Decimal:}&\:d<-2.09524\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{44}{21}\right)\end{bmatrix}$

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