Question

Solve the inequality.

Answer 1

C

Explanation:

Given

`(1)/(3)` + x +
`(2)/(9)` ≥
`(5)/(6)`

Multiply through by 18 ( the LCM of 3, 9 and 6 ) to clear the fractions

6 + 18x + 4 ≥ 15 , that is

10 + 18x ≥ 15 ( subtract 10 from both sides )

18x ≥ 5 ( divide both sides by 18 )

x ≥
`(5)/(18)` → C

Answer 2

C. x ≥ 5/18

Explanation:

1/3+x+2/9≥5/6

x+3/9+2/9≥5/6

x ≥ 5/6 - 5/9

x ≥ 3*5/3*6 - 2*5/2*9

x ≥ (15-10)/18

x ≥ 5/18