Question

How do you solve (5)/(18)-(x-2)/(9)<=(x-4)/(6)

Answer 1

x ≥
`(21)/(5)`

Explanation:

Given

`(5)/(18)` -
`(x-2)/(9)` ≤
`(x-4)/(6)`

Multiply through by 18 ( the LCM of 18, 9 and 6 ) to clear the fractions

5 - 2(x - 2) ≤ 3(x - 4) ← distribute parenthesis and simplify

5 - 2x + 4 ≤ 3x - 12

9 - 2x ≤ 3x - 12 ( add 2x to both sides )

9 ≤ 5x - 12 ( add 12 to both sides )

21 ≤ 5x ( divide both sides by 5 )

`(21)/(5)` ≤ x , that is

x ≥
`(21)/(5)`