Question

Solve - 3/5 x + 1/5 > 7/20

Answer 1

[ Answer ]

`\boxed{X \ < \ -(1)/(4) }`

[ Explanation ]

• Solve:
  `-(3)/(5)x` +
  `(1)/(5)` >
  `(7)/(20)`

-----------------------------------------

• Subtract
  `(1)/(5)` From Both Sides

`-(3)/(5)x` +
`(1)/(5)` -
`(1)/(5)` >
`(7)/(20)` -
`(1)/(5)`

• Simplify

`-(3)/(5)x` >
`(3)/(20)`

• Multiply Both Sides By -1 (Reverse Inequality)

(
`-(3)/(5)x`)(-1) <
`(3(-1))/(20)`

• Simplify

`(3)/(5)x` <
`-(3)/(20)`

• Multiply Both Sides By 5

5 ·
`(3)/(5)x` < 5(
`-(3)/(20)`)

• Simplify

3x <
`-(3)/(4)`

• Divide Both Sides By 3

`(3x)/(3)` <
`(-(3)/(4) )/(3)`

• Simplify

X <
`-(1)/(4)`

`\boxed{[ \ Eclipsed \ ]}`

Answer 2

x< -1/4

Explanation:

- 3/5 x + 1/5 > 7/20

Subtract 1/5 from each side

- 3/5 x + 1/5-1/5 > 7/20-1/5

-3/5x > 7/20 -1/5

Get a common denominator

-3/5x > 7/20 -1/5*4/4

-3/5x > 7/20 -4/20

-3/5x> 3/20

Multiply by -5/3 to isolate x

Remember that flips the inequality

-5/3* -3/5 x < 3/20*-5/3

x < -1/4