Question

Solve the inequality
-3/2(x-1/3)>1/5-5x

Answer 1

x>-3/35

Explanation:

Answer 2

Answer: x > -3/35

Explanation:

`-(3)/(2)\left(x-(1)/(3)\right)>(1)/(5)-5x`

`=-(3)/(2)x+(1)/(2)>(1)/(5)-5x`

`=-(3)/(2)x+(1)/(2)-(1)/(2)>(1)/(5)-5x-(1)/(2)`

`=-(3)/(2)x>-5x-(3)/(10)`

`-(3)/(2)x+5x>-5x-(3)/(10)+5x`

`(7)/(2)x>-(3)/(10)`

Multiply both sides by 2:

`2\cdot (7)/(2)x>2\left(-(3)/(10)\right)`

`7x>-(3)/(5)`

Divide both sides by 7:

`(7x)/(7)>(-(3)/(5))/(7)` --> (-3/5 * 1/7 = -3/35)

`x>-(3)/(35)`