Question

How do I solve this?

Answer 1

`x>(83)/(15)`

Explanation:

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

`(5x-21)/(10)>(2)/(3)`

STEP 2: Multiply both sides of the equation by
`10`.

`(5x-21)/(10)>(2)/(3)*(10)`

STEP 3: Remove parentheses.

`(5x-21)/(10)>(2)/(3)*(10)`

STEP 4: Multiply
`(2)/(3)*(10)`

`(5x-21)/(10)>(20)/(3)`

STEP 5: Move all terms not containing
`x` to the right side of the inequality.

`5x>(83)/(3)`

STEP 6: Divide each term by
`5` and simplify.

`x>(83)/(15)`

STEP 7: The result can be shown in multiple forms.

Inequality Form:

`x>(83)/(15)`

Interval Notation:

`((83)/(15)`,∞
`)`

Answer 2

x>83/15

Explanation:

x-5/2+2/5>2/3

15x-75+12>20 (multiply both sides by 30)

15x-63>20

15x>83

x>83/15