Question

Solve for x. −4/5x+3/10<8/10

Answer 1

$\\ \tt\longmapsto \dfrac{-4}{5}x+\dfrac{3}{10}$

$\\ \tt\longmapsto \dfrac{-4}{5}x$

$\\ \tt\longmapsto -4/5x$

$\\ \tt\longmapsto x>-5/8$

Answer 2

Answer:

for (−4/5)x + 3/10 < 8/10:  solution is x > -5/8

for −4/(5x) + 3/10 < 8/10: solution is x > -8/5

Step-by-step explanation:

I'm not exactly sure if you mean -4 divided by 5x or (-4/5)x, so I've done both! :)

$-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}$

subtract 3/10 from both sides:  $-\frac{4}{5}x < \frac{5}{10}$

Divide both sides by 4/5:  $-x < \frac{5}{8}$

Divide both sides by -1 (reverse sign):  $x > -\frac{5}{8}$

$-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}$

subtract 3/10 from both sides:  $-\frac{4}{5x} < \frac{5}{10}$

Multiply both sides by 5x:  $-4 < \frac{5}{2}x$

Divide both sides by 5/2:  $x>- \frac{8}{5}$