Question

Solve for w, 9w + 32 < 2w

Answer 1

Answer:

$9w+32<2w\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:w<-\dfrac{32}{7}\:\\ \:\mathrm{Decimal:}&\:w<-4.57143\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\dfrac{32}{7}\right)\end{bmatrix}$

Step-by-step explanation:

$9w+32<2w$

$\mathrm{Subtract\:}32\mathrm{\:from\:both\:sides}$

$9w+32-32<2w-32$

$\mathrm{Simplify}$

$9w<2w-32$

$\mathrm{Subtract\:}2w\mathrm{\:from\:both\:sides}$

$9w-2w<2w-32-2w$

$\mathrm{Simplify}$

$7w<-32$

$\mathrm{Divide\:both\:sides\:by\:}7$

$\dfrac{7w}{7}<\dfrac{-32}{7}$

$\mathrm{Simplify}$

$w<-\dfrac{32}{7}$