Question

Solve, 39 - 12w > 7 - 16w

Answer 1

Answer:

39 - 12w > 7 - 16w

= -12w + 16w > 7 - 39

= 4w > -32

= w > -8

Answer 2

Answer:

$39-12w>7-16w\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:w>-8\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-8,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$39-12w>7-16w$

$\mathrm{Subtract\:}39\mathrm{\:from\:both\:sides}$

$39-12w-39>7-16w-39$

$\mathrm{Simplify}$

$-12w>-16w-32$

$\mathrm{Add\:}16w\mathrm{\:to\:both\:sides}$

$-12w+16w>-16w-32+16w$

$\mathrm{Simplify}$

$4w>-32$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\dfrac{4w}{4}>\dfrac{-32}{4}$

$\mathrm{Simplify}$

$w>-8$