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! :)
[tex]-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5}x < \frac{5}{10}[/tex]
Divide both sides by 4/5: [tex]-x < \frac{5}{8}[/tex]
Divide both sides by -1 (reverse sign): [tex]x > -\frac{5}{8}[/tex]
[tex]-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}[/tex]
subtract 3/10 from both sides: [tex]-\frac{4}{5x} < \frac{5}{10}[/tex]
Multiply both sides by 5x: [tex]-4 < \frac{5}{2}x[/tex]
Divide both sides by 5/2: [tex]x>- \frac{8}{5}[/tex]
