Question

Solve for x.

−4/5x+3/10<8/10

Answer 1

`\\ \tt\longmapsto (-4)/(5)x+(3)/(10)<(8)/(10)`

`\\ \tt\longmapsto (-4)/(5)x<(5)/(10)`

`\\ \tt\longmapsto -4/5x<1/2`

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

Answer 2

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

Explanation:

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

`-(4)/(5)x+ (3)/(10) < (8)/(10)`

subtract 3/10 from both sides:
`-(4)/(5)x < (5)/(10)`

Divide both sides by 4/5:
`-x < (5)/(8)`

Divide both sides by -1 (reverse sign):
`x > -(5)/(8)`

`-(4)/(5x)+ (3)/(10) < (8)/(10)`

subtract 3/10 from both sides:
`-(4)/(5x) < (5)/(10)`

Multiply both sides by 5x:
`-4 < (5)/(2)x`

Divide both sides by 5/2:
`x>- (8)/(5)`