Question

Solve.

−1/2x + 1/3 > 3/5
Drag and drop a number or symbol into each box to show the solution.

A. x > -8/15

B. x < -8/15

C. x > 8/15

D. x < 8/15

E. x > -4/15

F. x < -4/15

G. x > 4/15

H. x < 4/15

Answer 1

The answer to this is B

Answer 2

We need to solve given inequality

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

We can start by multiplying both side by common denominator so that fractions get removed.

common denominator of given denominators 2, 3 and 5 will be 30. So let's multiply both side by 30

`-(1)/(2)x*30+(1)/(3)*30>(3)/(5)*30`

`-(30)/(2)x+(30)/(3)>(90)/(5)`

`-15x+10>18`

`-15x>18-10`

`-15x>8`

`x<- (8)/(15)`

Hence final answer is
`x<- (8)/(15)`.